Publications of Jerry Bona

David M. Ambrose, Jerry L. Bona and David P. Nicholls.  On ill-posedness of truncated series models for water waves.  Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 470(2166):20130849, 16, 2014. MR3190218
Jerry L. Bona, Hongqiu Chen and Chun-Hsiung Hsia.  Well-posedness for the BBM-equation in a quarter plane.  Discrete Contin. Dyn. Syst. Ser. S, 7(6):1149--1163, 2014. MR3228871
J. L. Bona, G. Ponce, J.-C. Saut and C. Sparber.  Dispersive blow-up for nonlinear Schrödinger equations revisited.  J. Math. Pures Appl. (9), 102(4):782--811, 2014. MR3258130
Jerry L. Bona, Jonathan Cohen and Gang Wang.  Global well-posedness for a system of KdV-type equations with coupled quadratic nonlinearities.  Nagoya Math. J., 215:67--149, 2014. MR3263526
Jerry L. Bona, Jonathan Cohen and Gang Wang.  Global Well-posedness for a System of KdV-type Equations with Coupled Quadratic Nonlinearities.  Nagoya Math. J. , Volume 215 :67-149, 2014.
Jerry L. Bona, Hongqiu Chen and Chun-Hsiung Hsia.  Global Well-posedness for the BBM-equation in a Quarter Plane .  Discrete Cont. Dynamical Sys. Series S, 7(6):1-15, 2014.
J.L. Bona, G. Ponce, J.-C. Saut and C. Sparber.  Dispersive Blow-up for Nonlinear Schrodinger Equations Revisited.  Journal de Mathematiques Pures et Appliques, , 2014.
David M. Ambrose, Jerry L. Bona and David P. Nicholls. .  On ill-posedness of truncated series models for water waves.  Proceedings of the Royal Society of London, Series A, 470:1-16, 2014.
J.L. Bona, H. Chen and O. Karakashian.  Stability of sollitary-wave solutions of systems of dispersive equations.  2014.
A. Esfahani, A. Pastor and J. L. Bona.  Stability and Decay Properties of Solitary-wave Solutions to the Generalized BO-ZK Equation.  2014.
Jerry L. Bona, Thierry Colin and Colette Guillopé.  Propagation of long-crested water waves.  Discrete Contin. Dyn. Syst., 33(2):599--628, 2013. MR2975126
J. L. Bona, H. Chen, O. Karakashian and Y. Xing.  Conservative, discontinuous Galerkin-methods for the generalized Korteweg-de Vries equation.  Math. Comp., 82(283):1401--1432, 2013. MR3042569
Jerry L. Bona, Stéphane Vento and Fred B. Weissler.  Singularity formation and blowup of complex-valued solutions of the modified KdV equation.  Discrete Contin. Dyn. Syst., 33(11-12):4811--4840, 2013. MR3060816
Hongqiu Chen and Jerry L. Bona.  Periodic traveling-wave solutions of nonlinear dispersive evolution equations.  Discrete Contin. Dyn. Syst., 33(11-12):4841--4873, 2013. MR3060817
Jerry L. Bona, Thierry Colin and Colette Guillope.  Propagation of Long-Crested Water Waves.  Discrete Cont. Dynamical Sys. Series A, 33(2):599-628, 2013.
Hongqiu Chen and Jerry L. Bona.  Periodic Traveling-wave Solutions of Nonlinear Dispersive Evolution Equations.  Discrete Cont. Dynamical Sys. Series A, 33:4841-4873, 2013. Invited paper for a special volume in honor of Jerry Goldstein's 70th birthday. 
J.L. Bona, S. Vento and F.B. Weissler.  Singularity Formation and Blowup of Complex-valued Solutions of the modified KdV-equation.  Discrete Cont. Dynamical Sys. Series A, 33(11/12):4811-4840, 2013.
Jerry L. Bona, Hongqiu Chen, Ohannes Karakashian and Yulong Xing.  Conservative, Discontinuous Galerkin–methods for the Generalized Korteweg–de Vries Equation.  Math. Comp. , 82:1401-1432, 2013.
M. Panthee J. L. Bona, X. Carvajal and M. Scialom .  Higher-order models for unidirectional water waves.  2013.
David M. Ambrose, Jerry L. Bona and David P. Nicholls.  Well-posedness of a model for water waves with viscosity.  Discrete Contin. Dyn. Syst. Ser. B, 17(4):1113--1137, 2012. MR2899939
Thiab R. Taha.  Foreword [Special issue on ``Nonlinear Waves: Computation and Theory-IX, WAVES2009''].  Math. Comput. Simulation, 82(6):945, 2012. MR2903336
Jerry L. Bona, Lokenath Debnath, Henrik Kalisch and Alexander Vasil{\cprime}ev.  Preface [Special issue dedicated to the memory of Professor Vladimir Varlamov].  Anal. Math. Phys., 2(4):319--324, 2012. MR2995231
B. Boczar-Karakiewicz, J. L. Bona, W. Romanczyk and E. Thornton.  Seasonal and interseasonal variability of sand bars at Duck, NC, USA. Observations and model predictions.  2012.
Jerry L. Bona and Claudine Schmidt-Lainé.  Preface: Claude-Michel Brauner on the occasion of his 60th birthday.  Discrete Contin. Dyn. Syst. Ser. S, 4(1):i--iv, 2011. MR2746391
Jerry L. Bona and Laihan Luo.  Large-time asymptotics of the generalized Benjamin-Ono-Burgers equation.  Discrete Contin. Dyn. Syst. Ser. S, 4(1):15--50, 2011. MR2746393
Jerry L. Bona, Chun-Hsiung Hsia, Tian Ma and Shouhong Wang.  Hopf bifurcation for two-dimensional doubly diffusive convection.  Appl. Anal., 90(1):5--30, 2011. Invited paper in a volume honoring V. Solonikov.  MR2763532
Jerry L. Bona and Fred B. Weissler.  Traveling fronts of a conservation law with hyper-dissipation.  Adv. Differential Equations, 16(9-10):917--935, 2011. MR2850758
Jerry L. Bona, Michel Langlais and Alain Miranville , editors.  Special issue dedicated to Claude-Michel Brauner on the occasion of his 60th birthday, volume 4 of Series S.  Discrete and Continuous Dynamical Systems, 2011.
Jerry L. Bona, Zoran Grujić and Henrik Kalisch.  A KdV-type Boussinesq system: from the energy level to analytic spaces.  Discrete Contin. Dyn. Syst., 26(4):1121--1139, 2010. MR2600738
Jerry L. Bona and Didier Pilod.  Stability of solitary-wave solutions to the Hirota-Satsuma equation.  Discrete Contin. Dyn. Syst., 27(4):1391--1413, 2010. Invited paper in a volume markng the 70th birthday of Roger Temam.  MR2629530
J. L. Bona, H. Chen, S.-M. Sun and B.-Y. Zhang.  Approximating initial-value problems with two-point boundary-value problems: BBM-equation.  Bull. Iranian Math. Soc., 36(1):1--25, 2010. MR2743385
Jerry L. Bona and Jean-Claude Saut.  Dispersive blow-up II. Schrödinger-type equations, optical and oceanic rogue waves.  Chin. Ann. Math. Ser. B, 31(6):793--818, 2010. MR2745206
Jerry Bona, Mathieu Colin, Thierry Colin and David Lannes.  Preface: Special issue on asymptotic description of natural phenomena.  Discrete Contin. Dyn. Syst., 23(4):i--ii, 2009. MR2461843
Jerry L. Bona and Jiahong Wu.  Temporal growth and eventual periodicity for dispersive wave equations in a quarter plane.  Discrete Contin. Dyn. Syst., 23(4):1141--1168, 2009. MR2461845
Jerry L. Bona and Nikolay Tzvetkov.  Sharp well-posedness results for the BBM equation.  Discrete Contin. Dyn. Syst., 23(4):1241--1252, 2009. MR2461849
Jerry L. Bona and Hongqiu Chen.  Well-posedness for regularized nonlinear dispersive wave equations.  Discrete Contin. Dyn. Syst., 23(4):1253--1275, 2009. MR2461850
Jerry L. Bona and Fred B. Weissler.  Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV.  Nonlinearity, 22(2):311--349, 2009. MR2475549
Jerry L. Bona, Shu Ming Sun and Bing-Yu Zhang.  A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II.  J. Differential Equations, 247(9):2558--2596, 2009. MR2568064
H. Fathallah-Shaykh, J. L. Bona and S. Kadener.  Mathematical model of the Drosophila circadian clock: loop and transcriptional integration.  Biophysics Journal, 97:2399-2408, 2009. The cover of the issue highlights this paper. 
J. L. Bona, D. Lannes and J.-C. Saut.  Asymptotic models for internal waves.  J. Math. Pures Appl. (9), 89(6):538--566, 2008. MR2424620
J. L. Bona and A. S. Fokas.  Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations.  Nonlinearity, 21(10):T195--T203, 2008. MR2439474
J. L. Bona, V. A. Dougalis and D. E. Mitsotakis.  Numerical solution of Boussinesq systems of KdV-KdV type. II. Evolution of radiating solitary waves.  Nonlinearity, 21(12):2825--2848, 2008. MR2461042
Jerry L. Bona, S. M. Sun and Bing-Yu Zhang.  Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane.  Ann. Inst. H. Poincaré Anal. Non Linéaire, 25(6):1145--1185, 2008. MR2466325
Jerry L. Bona and Radu C. Cascaval.  Nonlinear dispersive waves on trees.  Can. Appl. Math. Q., 16(1):1--18, 2008. MR2500096
J.L. Bona and H. Fathallah-Shaykh.  Approximation by cubic splines generates highly specific discovery by microarrays.  Open Bioinformatics J., 2:58-63, 2008.
Jerry L. Bona, Hongqiu Chen, Shu-Ming Sun and Bing-Yu Zhang.  Comparison of quarter-plane and two-point boundary vlaue problems: the KdV-equation.  Discrete Contin. Dyn. Syst. Ser. B, 7(3):465--495 (electronic), 2007. MR2291853
J. L. Bona, V. A. Dougalis and D. E. Mitsotakis.  Numerical solution of KdV-KdV systems of Boussinesq equations. I. The numerical scheme and generalized solitary waves.  Math. Comput. Simulation, 74(2-3):214--228, 2007. MR2307859
John P. Albert, Jerry L. Bona and Nghiem V. Nguyen.  On the stability of KdV multi-solitons.  Differential Integral Equations, 20(8):841--878, 2007. MR2339841
Jerry Bona, H. Chen, S.-M. Sun and B.-Y. Zhang.  Comparison of quarter-plane and two-point boundary value problems; the KdV equation.  Discrete Cont. Dynam. Systems, Series B, 7:465--495, 2007.
A. A. Alazman, J. P. Albert, J. L. Bona, M. Chen and J. Wu.  Comparisons between the BBM equation and a Boussinesq system.  Adv. Differential Equations, 11(2):121--166, 2006. MR2194497
Jerry L. Bona, S. M. Sun and Bing-Yu Zhang.  Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications.  Dyn. Partial Differ. Equ., 3(1):1--69, 2006. MR2221746
Jerry L. Bona, Zoran Grujić and Henrik Kalisch.  Global solutions of the derivative Schrödinger equation in a class of functions analytic in a strip.  J. Differential Equations, 229(1):186--203, 2006. MR2265624
Jaime Angulo Pava, Jerry L. Bona and Marcia Scialom.  Stability of cnoidal waves.  Adv. Differential Equations, 11(12):1321--1374, 2006. MR2276856
J. L. Bona, F. Vaince and H. M. Fathallah-Shaykh.  Microarray data analysis: Current practices and future directions.  Current Pharmacogenomics , 4:209-218, 2006.
Jerry L. Bona and Vladimir V. Varlamov.  Wave generation by a moving boundary.  In Nonlinear partial differential equations and related analysis, pages 41--71.  Amer. Math. Soc., Providence, RI, 2005. MR2143859
Jerry L. Bona, Hongqiu Chen, Shu Ming Sun and B.-Y. Zhang.  Comparison of quarter-plane and two-point boundary value problems: the BBM-equation.  Discrete Contin. Dyn. Syst., 13(4):921--940, 2005. MR2166711
Jerry L. Bona, Zoran Grujić and Henrik Kalisch.  Algebraic lower bounds for the uniform radius of spatial analyticity for the generalized KdV equation.  Ann. Inst. H. Poincaré Anal. Non Linéaire, 22(6):783--797, 2005. MR2172859
Jerry L. Bona, Thierry Colin and David Lannes.  Long wave approximations for water waves.  Arch. Ration. Mech. Anal., 178(3):373--410, 2005. MR2196497
Jerry L. Bona and Edward Vrscay.  Continuous evolution of functions and measures toward fixed points of contraction mappings.  In Fractals in engineering: new trends in theory and application, pages 237--254.  Springer-Verlag, 2005.
B. Boczar-Karakiewicz, J. L. Bona and W. Romanczyk.  Extended equilibrium beach profiles.  Coastal Engineering, 52:727--744, 2005.
J. L. Bona, M. Chen and J.-C. Saut.  Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II. The nonlinear theory.  Nonlinearity, 17(3):925--952, 2004. MR2057134
J. L. Bona and H. Kalisch.  Singularity formation in the generalized Benjamin-Ono equation.  Discrete Contin. Dyn. Syst., 11(1):27--45, 2004. MR2073945
Jerry L. Bona, Yue Liu and Nghiem V. Nguyen.  Stability of solitary waves in higher-order Sobolev spaces.  Commun. Math. Sci., 2(1):35--52, 2004. MR2082818
Jerry L. Bona, Shu-Ming Sun and Bing-Yu Zhang.  Conditional and unconditional well-posedness for nonlinear evolution equations.  Adv. Differential Equations, 9(3-4):241--265, 2004. MR2100628
J. L. Bona, D. de Figueiredo, O. Lopes and M. Scialom, editors.  Fifth workshop on nonlinear differential equations, volume 27 of Matematica Contemporanea.  Sociedade Brasieira de Matematica: Rio de Janeiro, 2004.
Jerry L. Bona and Zoran Grujić.  Spatial analyticity properties of nonlinear waves.  Math. Models Methods Appl. Sci., 13(3):345--360, 2003. MR1977630
Jerry L. Bona, S. M. Sun and Bing-Yu Zhang.  Forced oscillations of a damped Korteweg-de Vries equation in a quarter plane.  Commun. Contemp. Math., 5(3):369--400, 2003. MR1992355
Jerry L. Bona, Shu Ming Sun and Bing-Yu Zhang.  A nonhomogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain.  Comm. Partial Differential Equations, 28(7-8):1391--1436, 2003. MR1998942
Jerry L. Bona and Hongqiu Chen.  Local and global well-posedness results for generalized BBM-type equations.  In Evolution equations, pages 35--55.  Dekker, New York, 2003. MR2073734
Jerry Bona, Thierry Colin and David Lannes.  Long wave approximations for water waves.  In Mathematical and numerical aspects of wave propagation---WAVES 2003, pages 489--494.  Springer, Berlin, 2003. MR2078043
Jerry L. Bona, S. M. Sun and Bing-Yu Zhang.  A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane.  Trans. Amer. Math. Soc., 354(2):427--490 (electronic), 2002. MR1862556
Jerry L. Bona and Yue Liu.  Instability of solitary-wave solutions of the 3-dimensional Kadomtsev-Petviashvili equation.  Adv. Differential Equations, 7(1):1--23, 2002. MR1867702
Jerry Bona and Hongqiu Chen.  Solitary waves in nonlinear dispersive systems.  Discrete Contin. Dyn. Syst. Ser. B, 2(3):313--378, 2002. MR1898319
J. Angulo, J. L. Bona, F. Linares and M. Scialom.  Scaling, stability and singularities for nonlinear, dispersive wave equations: the critical case.  Nonlinearity, 15(3):759--786, 2002. MR1901105
J. L. Bona, M. Chen and J.-C. Saut.  Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I. Derivation and linear theory.  J. Nonlinear Sci., 12(4):283--318, 2002. MR1915939
Jerry L. Bona and Jiahong Wu.  The zero-viscosity limit of the 2D Navier-Stokes equations.  Stud. Appl. Math., 109(4):265--278, 2002. MR1934651
Jerry L. Bona, Yue Liu and Michael M. Tom.  The Cauchy problem and stability of solitary-wave solutions for RLW-KP-type equations.  J. Differential Equations, 185(2):437--482, 2002. MR1935610
Jerry Bona, Roy Choudhury and David Kaup, editors.  The legacy of the inverse scattering transform in applied mathematics, volume 301 of Contemporary Mathematics.  American Mathematical Society, Providence, RI, 2002. MR1947357
T. R. Taha, J. Bona and A. de Bouard, editors.  Nonlinear waves: computation and theory.  Elsevier Science B.V., Amsterdam, 2001. MR1822921
Jerry L. Bona and Jenny X. Li.  Stabilizing monetary-injection policies.  J. Econom. Theory, 98(1):127--157, 2001. MR1832651
Jerry L. Bona and Laihan Luo.  Asymptotic decomposition of nonlinear, dispersive wave equations with dissipation.  Phys. D, 152/153:363--383, 2001. MR1837918
J. L. Bona and F. B. Weissler.  Blow-up of spatially periodic complex-valued solutions of nonlinear dispersive equations.  Indiana Univ. Math. J., 50(2):759--782, 2001. MR1871389
Henrik Kalisch and Jerry L. Bona.  Models for internal waves in deep water.  Discrete Contin. Dynam. Systems, 6(1):1--20, 2000. MR1739590
Jerry Bona, Katarzyna Saxton and Ralph Saxton, editors.  Nonlinear PDE's, dynamics and continuum physics, volume 255 of Contemporary Mathematics.  American Mathematical Society, Providence, RI, 2000. MR1752497
Jerry L. Bona and Jiahong Wu.  Zero-dissipation limit for nonlinear waves.  M2AN Math. Model. Numer. Anal., 34(2):275--301, 2000. MR1765660
Henrik Kalisch and Jerry L. Bona.  Solitary waves in a two-fluid system that includes surface tension.  In Mathematical and numerical aspects of wave propagation (Santiago de Compostela, 2000), pages 324--328.  SIAM, Philadelphia, PA, 2000. MR1785917
J. L. Bona, W. R. McKinney and J. M. Restrepo.  Stable and unstable solitary-wave solutions of the generalized regularized long-wave equation.  J. Nonlinear Sci., 10(6):603--638, 2000. MR1799393
Jerry L. Bona and Laihan Luo.  A generalized Korteweg-de Vries equation in a quarter plane.  In Applied analysis (Baton Rouge, LA, 1996), pages 59--125.  Amer. Math. Soc., Providence, RI, 1999. MR1647197
J. L. Bona, F. Demengel and K. Promislow.  Fourier splitting and dissipation of nonlinear dispersive waves.  Proc. Roy. Soc. Edinburgh Sect. A, 129(3):477--502, 1999. MR1693637
Jaime Angulo, Jerry L. Bona, Felipe Linares and Marcia Scialom.  On the structure of singularities in solutions of the nonlinear Schrödinger equation for the critical case, $p=4/n$.  In Nonlinear theory of generalized functions (Vienna, 1997), pages 3--22.  Chapman & Hall/CRC, Boca Raton, FL, 1999. MR1699846
J. L. Bona and F. B. Weissler.  Similarity solutions of the generalized Korteweg-de Vries equation.  Math. Proc. Cambridge Philos. Soc., 127(2):323--351, 1999. MR1705463
Jerry L. Bona and Hongqiu Chen.  Comparison of model equations for small-amplitude long waves.  Nonlinear Anal., 38(5, Ser. B: Real World Appl.):625--647, 1999. MR1709992
John P. Albert, Jerry L. Bona and Juan Mario Restrepo.  Solitary-wave solutions of the Benjamin equation.  SIAM J. Appl. Math., 59(6):2139--2161 (electronic), 1999. MR1726196
B. Boczar-Karakiewicz, J. L. Bona, W. Romańczyk and E. Thornton.  Sand bars at Duck, NC, USA. Observations and model predictions.  In Coastal sediments 99, pages 491-504.  American Soc. Civil Engr.: New York, 1999.
Hongqiu Chen and Jerry L. Bona.  Existence and asymptotic properties of solitary-wave solutions of Benjamin-type equations.  Adv. Differential Equations, 3(1):51--84, 1998. MR1608077
Jerry L. Bona and Min Chen.  A Boussinesq system for two-way propagation of nonlinear dispersive waves.  Phys. D, 116(1-2):191--224, 1998. MR1621920
B. Boczar-Karakiewicz, J. L. Bona, W. Romańczyk and E. Thornton.  Modeling the dynamics of the bar system at Duck, NC, USA.  In Proceedings of the 26th international conference on coastal engineering, pages 2877-2887.  American Soc. Civil Engr.: New York, 1998.
J. P. Albert, J. L. Bona and J.-C. Saut.  Model equations for waves in stratified fluids.  Proc. Roy. Soc. London Ser. A, 453(1961):1233--1260, 1997. MR1455330
Jerry L. Bona and Yi A. Li.  Decay and analyticity of solitary waves.  J. Math. Pures Appl. (9), 76(5):377--430, 1997. MR1460665
Min Chen and Jerry L. Bona.  Higher-order Boussinesq systems for two-way propagations of water waves.  In Proceedings of the Conference on Nonlinear Evolution Equations and Infinite-dimensional Dynamical Systems (Shanghai, 1995), pages 5--12.  World Sci. Publ., River Edge, NJ, 1997. MR1659567
J. L. Bona and M. Santos.  On the role of computation in economic theory.  J. Economic Th., 72:241-281, 1997.
B. Boczar-Karakiewicz, J. L. Bona, W. Romańczyk and E. Thornton.  Sand bar dynamics and offshore beach norishment.  In Proceedings of coastal dynamics 97, pages 873-882.  American Soc. Civil Engr.: New York, 1997.
J. L. Bona.  Nomination of Felix Browder.  Notices American Math. Soc., 44:954-955, 1997. (Nomination of Browder for President of the AMS). 
H. A. Biagioni, J. L. Bona, R. J. Iório, Jr. and M. Scialom.  On the Korteweg-de Vries-Kuramoto-Sivashinsky equation.  Adv. Differential Equations, 1(1):1--20, 1996. MR1357952
Yi A. Li and Jerry L. Bona.  Analyticity of solitary-wave solutions of model equations for long waves.  SIAM J. Math. Anal., 27(3):725--737, 1996. MR1382830
Jerry L. Bona and Bing-Yu Zhang.  The initial-value problem for the forced Korteweg-de Vries equation.  Proc. Roy. Soc. Edinburgh Sect. A, 126(3):571--598, 1996. MR1396279
Jerry Bona.  An appreciation of T. Brooke Benjamin (1929--1995).  In Mathematical problems in the theory of water waves (Luminy, 1995), pages xiii--xvi.  Amer. Math. Soc., Providence, RI, 1996. MR1410495
J. L. Bona, V. A. Dougalis, O. A. Karakashian and W. R. McKinney.  Numerical simulation of singular solutions of the generalized Korteweg-de Vries equation.  In Mathematical problems in the theory of water waves (Luminy, 1995), pages 17--29.  Amer. Math. Soc., Providence, RI, 1996. MR1410497
J. L. Bona, V. A. Dougalis, O. A. Karakashian and W. R. McKinney.  The effect of dissipation on solutions of the generalized Korteweg-de Vries equation.  J. Comput. Appl. Math., 74(1-2):127--154, 1996. MR1430371
B. Boczar-Karakiewicz, J. L. Bona, A. L. Mercier and W. Romańczyk .  Offshore nourishment of sand bars: a method of beach protection.  In Proceedings of the conférence canadienne sur le littoral, pages 150-160.  NSERC: Ottawa, 1996.
B. Boczar-Karakiewicz, J. L. Bona, B. Greenwood and W. Romańczyk .  Wave groups in a barred nearshore.  In Silver anniversary international conference on coastal engineering, pages 346-359.  American Soc. Civil Engr.: New York, 1996.
Jerry L. Bona and Laihan Luo.  Initial-boundary value problems for model equations for the propagation of long waves.  In Evolution equations (Baton Rouge, LA, 1992), pages 63, 65--94.  Dekker, New York, 1995. MR1300420
J. L. Bona and M. Scialom.  On the comparison of solutions of model equations for long waves.  Mat. Contemp., 8:21--37, 1995. MR1330030
J. L. Bona, V. A. Dougalis, O. A. Karakashian and W. R. McKinney.  Conservative, high-order numerical schemes for the generalized Korteweg-de Vries equation.  Philos. Trans. Roy. Soc. London Ser. A, 351(1695):107--164, 1995. MR1336983
J. L. Bona and M. Scialom.  The effect of change in the nonlinearity and the dispersion relation of model equations for long waves.  Canad. Appl. Math. Quart., 3(1):1--41, 1995. MR1341919
Juan Mario Restrepo and Jerry L. Bona.  Three-dimensional model for the formation of longshore sand structures on the continental shelf.  Nonlinearity, 8(5):781--820, 1995. MR1355043
Jerry L. Bona and Laihan Luo.  More results on the decay of solutions to nonlinear, dispersive wave equations.  Discrete Contin. Dynam. Systems, 1(2):151--193, 1995. MR1355869
Juan Mario Restrepo and Jerry L. Bona.  Discretization of a model for the formation of longshore sand ridges.  J. Comput. Phys., 122(1):129--142, 1995. MR1358526
J. L. Bona, K. S. Promislow and C. E. Wayne.  Higher-order asymptotics of decaying solutions of some nonlinear, dispersive, dissipative wave equations.  Nonlinearity, 8(6):1179--1206, 1995. MR1363406
B. Boczar-Karakiewicz, J. L. Bona, B. Greenwood and W. Romańczyk .  Dynamics of sand bars in coastal zones.  In Proceedings of the international conference 'coastal dynamics 95', volume 1 of, pages 862-867.  American Soc. Civil Engr.: New York, 1995.
J. L. Bona, S. V. Rajopadhye and M. E. Schonbek.  Models for propagation of bores. I. Two-dimensional theory.  Differential Integral Equations, 7(3-4):699--734, 1994. MR1270099
J. L. Bona and A. Soyeur.  On the stability of solitary-waves solutions of model equations for long waves.  J. Nonlinear Sci., 4(5):449--470, 1994. MR1291117
T. R. Taha, M. J. Ablowitz, J. L. Bona and A. C. Newell, editors.  Solitons, nonlinear wave equations and computation.  Elsevier Science B.V., Amsterdam, 1994. MR1308101
Jerry Bona, Keith Promislow and Gene Wayne.  On the asymptotic behavior of solutions to nonlinear, dispersive, dissipative wave equations.  Math. Comput. Simulation, 37(4-5):265--277, 1994. MR1308103
J. L. Bona and M. Santos.  On the role of computation in economic theory.  In Economie mathématique et finance mathématique, pages 1-29.  ENSAE: Paris, 1994.
J. L. Bona and J.-C. Saut.  Dispersive blowup of solutions of generalized Korteweg-de Vries equations.  J. Differential Equations, 103(1):3--57, 1993. MR1218737
Jerry L. Bona and Laihan Luo.  Decay of solutions to nonlinear, dispersive wave equations.  Differential Integral Equations, 6(5):961--980, 1993. MR1230473
B. Boczar-Karakiewicz, J. L. Bona and L. A. Jackson.  Beach dynamics and nourishment of offshore bars: Gold Coast, Australia.  In Proceedings of the international coastal geomorphology symposium , pages 224-229.  J. Coastal Research, 1993.
B. Boczar-Karakiewicz, J. L. Bona and L. A. Jackson.  On 'soft' protection of sandy beaches in wave dominated environments.  In Advances in hydro-science and engineering, pages 1689-1696.  University of Mississippi Press: University, Mississippi, 1993.
Jerry L. Bona, Gustavo Ponce, Jean-Claude Saut and Michael M. Tom.  A model system for strong interaction between internal solitary waves.  Comm. Math. Phys., 143(2):287--313, 1992. MR1145797
F. Abergel and J. L. Bona.  A mathematical theory for viscous, free-surface flows over a perturbed plane.  Arch. Rational Mech. Anal., 118(1):71--93, 1992. MR1151927
Jerry L. Bona, Vassilios A. Dougalis, Ohannes A. Karakashian and William R. McKinney.  Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation.  Appl. Numer. Math., 10(3-4):335--355, 1992. MR1181702
J. L. Bona and R. Nelson.  Relative size and comparative value in Byzantine illuminated manuscript: some quantitative perspectives .  In Paleografie e codicologia greca, pages 339-353 and 187-190.  Edizioni dell'Orso: Alessandria, Italy, 1992.
J. L. Bona, V. A. Dougalis, O. A. Karakashian and W. R. McKinney.  Numerical solutions of the generalized Korteweg - de Vries equation with adaptive Galerkin methods.  In Proceedings of the first national congress on computational mechanics, pages 220-228.  University of Patras Press: Patras, Greece, 1992.
J. L. Bona, V. A. Dougalis, O. A. Karakashian and W. R. McKinney.  Numerical approximation of blow-up and decay of solutions of the generalized Korteweg de Vries-Burgers equation.  In Proceedings of the ercim workshop on numerical methods for linear and nonlinear problems in wave propagation, pages 69-78.  FORTH: Heraklion, Greece, 1992.
B. A. Case, R. A. Alo and J. L. Bona et al. .  The undergraduate major in the mathematical sciences.  In Heeding the call for change: suggestions for curricular action, pages 227-247.  Math. Assoc. America: Washington, D. C. , 1992. (MAA Notes 27). 
J. P. Albert and J. L. Bona.  Total positivity and the stability of internal waves in stratified fluids of finite depth.  IMA J. Appl. Math., 46(1-2):1--19, 1991. MR1106250
J. P. Albert and J. L. Bona.  Comparisons between model equations for long waves.  J. Nonlinear Sci., 1(3):345--374, 1991. MR1135490
Jerry L. Bona, Vassilios A. Dougalis, Ohannes A. Karakashian and William R. McKinney.  Fully-discrete methods with grid refinement for the generalized Korteweg-de Vries equation.  In Viscous profiles and numerical methods for shock waves (Raleigh, NC, 1990), pages 1--11.  SIAM, Philadelphia, PA, 1991. MR1142637
B. Boczar-Karakiewicz, J. L. Bona and B. Pelchat.  Interaction of internal waves with the sea bed on continental shelves.  Continental Shelf Res., 11:1181-1197, 1991.
B. Boczar-Karakiewicz, J. L. Bona and B. Pelchat.  Sediment transport, sand ridges and internal waves on continental shelves.  In Coastal sediments 91, pages 527-541.  American Soc. Civil Engr.: New York, 1991.
T. B. Benjamin, J. L. Bona and D. K. Bose.  Solitary-wave solutions of nonlinear problems.  Philos. Trans. Roy. Soc. London Ser. A, 331(1617):195--244, 1990. MR1062564
J. L. Bona et al., editors.  Priming the calculus pump: innovations and resources.  Math. Assoc. America: Washington, D. C. , 1990. (MAA Notes 17). 
C. J. Amick, J. L. Bona and M. E. Schonbek.  Decay of solutions of some nonlinear wave equations.  J. Differential Equations, 81(1):1--49, 1989. MR1012198
Manuel S. Santos and Jerry L. Bona.  On the structure of the equilibrium price set of overlapping-generations economies.  J. Math. Econom., 18(3):209--230, 1989. MR1014599
Jerry L. Bona and Robert L. Sachs.  The existence of internal solitary waves in a two-fluid system near the KdV limit.  Geophys. Astrophys. Fluid Dynam., 48(1-3):25--51, 1989. MR1024692
L. Abdelouhab, J. L. Bona, M. Felland and J.-C. Saut.  Nonlocal models for nonlinear, dispersive waves.  Phys. D, 40(3):360--392, 1989. MR1044731
Jerry L. Bona and Ragnar Winther.  The Korteweg-de Vries equation in a quarter plane, continuous dependence results.  Differential Integral Equations, 2(2):228--250, 1989. MR984190
B. Boczar-Karakiewicz, J. L. Bona and G. Chapalain.  Modeling of sand bars in coastal environments.  In Sediment transport modeling, pages 166-171.  American Soc. Civil Engr.: New York, 1989.
B. Boczar-Karakiewicz, J. L. Bona and B. Pelchat.  Coastal sand bars and obliquely incident waves.  In Proceedings of the xxiii congress of the international association for hydraulic research, pages 151-158.  National Research Council: Ottawa, 1989.
Jerry L. Bona and Robert L. Sachs.  Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation.  Comm. Math. Phys., 118(1):15--29, 1988. MR954673
J. P. Albert, J. L. Bona and M. Felland.  A criterion for the formation of singularities for the generalized Korteweg-de Vries equation.  Mat. Apl. Comput., 7(1):3--11, 1988. MR965674
J. P. Albert, J. L. Bona and D. B. Henry.  Sufficient conditions for stability of solitary-wave solutions of model equations for long waves.  Phys. D, 24(1-3):343--366, 1987. MR887857
J. L. Bona, Constantine Dafermos, J. L. Ericksen and David Kinderlehrer, editors.  Dynamical problems in continuum physics, volume 4 of The IMA Volumes in Mathematics and its Applications.  Springer-Verlag, New York, 1987. MR893394
J. L. Bona, P. E. Souganidis and W. A. Strauss.  Stability and instability of solitary waves of Korteweg-de Vries type.  Proc. Roy. Soc. London Ser. A, 411(1841):395--412, 1987. MR897729
B. Boczar-Karakiewicz, J. L. Bona and G. Drapeau.  A model for sand ridge formation by progressive infragravity waves on the Scotian Shelf, Sable Island area.  In Coastal sediments 87, pages 2157-2176.  American Soc. Civil Engr.: New York, 1987.
B. Boczar-Karakiewicz, J. L. Bona and D. Cohen.  Interaction of shallow-water waves and bottom topography.  In Dynamical problems in continuum mechanics, pages 131-176.  Springer-Verlag, 1987. (IMA seies in Mathematics and its Applications, Vol. 4). 
Jerry Bona and Jean-Claude Saut.  Singularités dispersives de solutions d'équations de type Korteweg-de Vries.  C. R. Acad. Sci. Paris Sér. I Math., 303(4):101--103, 1986. MR853596
Jerry L. Bona, Vassilios A. Dougalis and Ohannes A. Karakashian.  Fully discrete Galerkin methods for the Korteweg-de Vries equation.  Comput. Math. Appl. Ser. A, 12(7):859--884, 1986. MR855787
B. Boczar-Karakiewicz and J. L. Bona.  Scale effects in modeling sandbar formation in coastal regions.  In Scale effects in modeling seidment transport phenomena, pages 46-61.  National Research Council: Ottawa, 1986.
B. Boczar-Karakiewicz and J. L. Bona.  Wave-dominated shelves: a model of sand-ridge formation by progressive, infragravity waves.  In Shelf sands and sandstones, pages 163-179.  Canadian Society of Petroleum Geologists, 1986.
J. L. Bona, W. G. Pritchard and L. R. Scott.  Numerical schemes for a model for nonlinear dispersive waves.  J. Comput. Phys., 60(2):167--186, 1985. MR805869
J. L. Bona and M. E. Schonbek.  Travelling-wave solutions to the Korteweg-de Vries-Burgers equation.  Proc. Roy. Soc. Edinburgh Sect. A, 101(3-4):207--226, 1985. MR824222
B. Boczar-Karakiewicz, J. L. Bona and G. Chapalain.  On sediment transport rates and related time scales for sand bar formation in coastal zones.  In Proceedings of the 1985 canadian coastal conference, pages 271-285.  National Research Council: Ottawa, 1985.
D. P. Bennett, R. W. Brown, S. E. Stansfield, J. D. Stroughair and J. L. Bona.  The stability of internal solitary waves.  Math. Proc. Cambridge Philos. Soc., 94(2):351--379, 1983. MR715035
J. L. Bona, W. G. Pritchard and L. R. Scott.  A comparison of solutions of two model equations for long waves.  In Fluid dynamics in astrophysics and geophysics (Chicago, Ill., 1981), pages 235--267.  Amer. Math. Soc., Providence, R.I., 1983. MR716887
Jerry Bona and Ragnar Winther.  The Korteweg-de Vries equation, posed in a quarter-plane.  SIAM J. Math. Anal., 14(6):1056--1106, 1983. MR718811
J. L. Bona, D. K. Bose and R. E. L. Turner.  Finite-amplitude steady waves in stratified fluids.  J. Math. Pures Appl. (9), 62(4):389--439 (1984), 1983. MR735931
Jerry L. Bona.  Stabiity of solitary-wave solutions of the Benjamin-Ono equation.  In Escola de matemática aplicada, pages 207-214.  Sociedade Brasileira de Matemática e Computacional: Rio de Janeiro, 1982.
Jerry L. Bona.  Convergence of periodic wavetrains in the limit of large wavelength.  Appl. Sci. Res., 37(1-2):21--30, 1981. MR633079
J. L. Bona, W. G. Pritchard and L. R. Scott.  An evaluation of a model equation for water waves.  Philos. Trans. Roy. Soc. London Ser. A, 302(1471):457--510, 1981. MR633485
Jerry L. Bona.  On solitary waves and their role in the evolution of long waves.  In Applications of nonlinear analysis in the physical sciences, pages 183-205.  Pitman: London, 1981.
B. Boczar-Karakiewicz and J. L. Bona.  Formation of sand bars by progressive waves on sandy coasts.  Mitteilungen des Leichtwei\beta - Instituts für Wasserbau der Technischen Universität Braunschweig, 70:377-420, 1981.
Jerry Bona.  Model equations for waves in nonlinear dispersive systems.  In Proceedings of the International Congress of Mathematicians (Helsinki, 1978), pages 887--894.  Acad. Sci. Fennica, Helsinki, 1980. MR562704
Jerry L. Bona and Vassilios A. Dougalis.  An initial and boundary value problem for a model equation for propagation of long waves.  J. Math. Anal. Appl., 75(2):503--522, 1980. MR581837
J. L. Bona, W. G. Pritchard and L. R. Scott.  A posteriori error estimates for exact and approximate solutions of time-dependent problems.  In Seminar on Numerical Analysis and its Applications to Continuum Physics (Rio de Janeiro, 1980), pages 101--111.  Soc. Brasil. Mat., Rio de Janeiro, 1980. MR590278
Jerry Bona.  Solitary waves.  In Seminar on Numerical Analysis and its Applications to Continuum Physics (Rio de Janeiro, 1980), pages 203--210.  Soc. Brasil. Mat., Rio de Janeiro, 1980. MR590286
Jerry Bona.  'Navier-Stokes equations' by Roger Temam.  J. Fluid Mech., 96:827-829, 1980. Book Review. 
Jerry Bona, William G. Pritchard and L. R. Scott.  Solitary-wave interaction.  Physics of Fluids, 23:438-441, 1980.
Jerry L. Bona.  Solitary waves and other phenomena associated with model equations for long waves.  Fluid Dynamics Transactions, 10:77-111, 1980. (Polish, published by Panstwowe Wydawnictwo Naukowe, Warszawa). 
Jerry Bona.  Fluid mechanics education in the USA.  In Proceedings of the skola letnia mechaniki plynow (Held in mikolajki, poland), pages 93-97.  Zeszyty Naukowe Akadimii Rolniczo-Technicznej, 1978.
Jerry Bona.  'Differential equations and their applications' by M. Braun.  Bull. American Math. Soc. , 84:41-47, 1978. Book Review. 
Jerry Bona and Ridgway Scott.  Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces.  Duke Math. J., 43(1):87--99, 1976. MR0393887
Jerry L. Bona and Ronald Smith.  A model for the two-way propagation of water waves in a channel.  Math. Proc. Cambridge Philos. Soc., 79(1):167--182, 1976. MR0395457
J. L. Bona, D. K. Bose and T. B. Benjamin.  Solitary-wave solutions for some model equations for waves in nonlinear dispersive media.  In Applications of methods of functional analysis to problems in mechanics (Joint Sympos., IUTAM/IMU, Marseille, 1975), pages 207--218. Lecture Notes in Math., 503.  Springer, Berlin, 1976. MR0601045
J. L. Bona and R. Smith.  The initial-value problem for the Korteweg-de Vries equation.  Philos. Trans. Roy. Soc. London Ser. A, 278(1287):555--601, 1975. MR0385355
J. Bona.  On the stability theory of solitary waves.  Proc. Roy. Soc. London Ser. A, 344(1638):363--374, 1975. MR0386438
Jerry Bona, Dwight Freund and William G. Pritchard.  Symmetry of the solution of the linear diffusive model; Appendix to the paper 'The motion generated by a body moving through a stratified fluid at large Richardson number'.  J. Fluid Mech., 71:63-65, 1975.
Jerry Bona and Deb Bose.  Fixed point theorems for Fréchet spaces and the existence of solitary waves.  In Nonlinear wave motion (Proc. AMS-SIAM Summer Sem., Clarkson Coll. Tech., Potsdam, N.Y., 1972), pages 175--177. Lectures in Appl. Math., Vol. 15.  Amer. Math. Soc., Providence, R.I., 1974. MR0352735
Jerry Bona and Ronald Smith.  Existence of solutions to the Korteweg-de Vries initial value problem.  In Nonlinear wave motion (Proc. AMS-SIAM Summer Sem., Clarkson Coll. Tech., Potsdam, N.Y., 1972), pages 179--180. Lectures in Appl. Math., Vol. 15.  Amer. Math. Soc., Providence, R.I., 1974. MR0352736
J. L. Bona and P. J. Bryant.  A mathematical model for long waves generated by wavemakers in non-linear dispersive systems.  Proc. Cambridge Philos. Soc., 73:391--405, 1973. MR0339651
A. T. Bharucha-Reid, editors.  Probabilistic methods in applied mathematics. Vol. 3.  Academic Press [Harcourt Brace Jovanovich Publishers], New York, 1973. MR0394783
G. Birkhoff, J. Bona and J. Kampé de Fériet.  Statistically well-set Cauchy problems.  In Probabilistic methods in applied mathematics, Vol. 3, pages 1--120.  Academic Press, New York, 1973. MR0610264
J. Bona.  Fixed-point theorems for Fréchet spaces.  In Conference on the Theory of Ordinary and Partial Differential Equations (Univ. Dundee, Dundee, 1972), pages 219--222. Lecture Notes in Math., Vol. 280.  Springer, Berlin, 1972. MR0420347
T. B. Benjamin, J. L. Bona and J. J. Mahony.  Model equations for long waves in nonlinear dispersive systems.  Philos. Trans. Roy. Soc. London Ser. A, 272(1220):47--78, 1972. MR0427868
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