On the motion of non-dissipative inhomogeneous fluid-like bodies, submitted, 2009, pdf
with A. Cheskidov: Ill-posedness of the basic equations of fluid dynamics in Besov spaces, to appear in Proceedings of AMS (2009), pdf
with A. Cheskidov: On the regularity of weak solutions of the 3D Navier-Stokes equations in $B^{-1}_{\infty,\infty}$, to appear in Archive for Rational Mechanics and Analysis, DOI 10.1007/s00205-009-0265-2, pdf
Lecture notes of the Onsager conjecture, based on 4 lectures given at Kacov 11th School, Czech Republic, May 2009, pdf
On the energy of inviscid singular flows, Journal of Mathematical Analysis and Applications, 349 (2009) 583-595, pdf
A geometric condition implying energy equality for solutions of 3D Navier-Stokes equation, to appear in Journal of Dynamics and Differential Equations, (2009), pdf
with A. Cheskidov, S. Friedlander: On the energy equality for weak solutions of the 3D Navier-Stokes equations, to appear in Galdi Fest Volume (2009), pdf
with A. Cheskidov, P. Constantin, S. Friedlander: Energy conservation and Onsager's conjecture for the Euler equations, Nonlinearity 21 No 6 (2008) 1233-1252, pdf
Continuous spectrum of the 3D Euler equation is a solid annulus, 4 pages, preprint, pdf
with Y. Latushkin: Operator algebras and the Fredholm spectrum of advective equations of linear hydrodynamics, J. Func. Anal., 257 (2009) 3309-3328, pdf
with S. Fiedlander: The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscousity, Annales de l'Institut Henri Poincare / Analyse non lineaire, 25 (2008) 713-724, pdf
with S. Friedlander, N. Pavlovic: Nonlinear instability for the Navier-Stokes equations, Communications in Mathematical Physics, 264/2 (2006) 335-347, pdf
Cocycles and Mañe sequences with an application to ideal fluids, Journal of Diffenretial Equations, 229/1 (2006) 49-62, pdf
The essential spectrum of advective equations, Communications in Mathematical Physics, 265/2 (2006) 507-545, pdf
with S. Friedlander: On recent developments in the spectral problem for the linearized Euler equation, Contemporary Mathematics, 371 (2005) 271-295, pdf
with S. Friedlander: The Unstable Spectrum of the Surface Quasi-geostrophic Equation, Journal of Mathematical Fluid Mechanics, 7 suppl. 1 (2005) S81-S93, pdf
with Y. Latushkin: Essential
spectrum of the linearized 2D Euler equation and Lyapunov-Oseledets
exponents, Journal of Mathematical Fluid Mechanics,
7/2
(2005) 164 -178, pdf
with M. Vishik: On spectrum of the linearized 3D Euler equation, Dynamics of PDE, 1/1 (2004) 49-63, pdf
with Y. Latushkin: The Essential Spectrum of the Linearized 2D Euler Operator is a Vertical Band, Contemporary Mathematics, 327 (2003) 299-304, pdf
with A. Batkai and E. Fasanga: Hyperbolicity of delay equations via Fourier multipliers, Acta Scientarium Mathematicarum (Szeged), 69 (2003) 131--145, pdf
with M. Matolcsi: Trotter's product formula for projections, Archiv der Mathematik, 81/3 (2003) 309--317, pdf
with Y. Latushkin: Hyperbolicity of semigroups and Fourier
multipliers, in "Systems, Approximation, Singular Integral
Operators, and Related Topics,
International Workshop on Operator
Theory and Applications, IWOTA 2000", 341--363, Birkh\"{a}user
Verlag, (2001), pdf
with D. Bilik, V. Kadets and D. Werner: Narrow operators and the Daugavet property for ultraproducts, Positivity, 9/1 (2005) 45--62, pdf
with B. Cascales: On Krein-Šmulian theorem for weaker topologies, Illinois Journal of Mathematics, 47/4 (2003) 957--976, pdf
with D. Bilik, V. Kadets, G. Sirotkin and D. Werner: Narrow operators on vector-valued sup-normed spaces, Illinois Journal of Mathematics, 45 (2002) 120--143, pdf
The largest linear space of operators satisfying the Daugavet Equation in $L_1$, Proceedings of the American Mathematical Society, 130 (2002), no. 3, 773--777, pdf
with V. Kadets and D. Werner: Narrow operators and rich subspaces of Banach spaces with the Daugavet property, Studia Mathematica, 147 (2001) no. 3, 269--298, pdf
Geometric aspects of the Daugavet property, Journal of Functional Analysis, 176 (2000) no. 2, 198--212, pdf
with V. Kadets, G. Sirotkin, D. Werner: Banach spaces with the Daugavet property, Transactions of the American Mathematical Society, 352 (2000) 2, 855--873, pdf
with V. Kadets: The Daugavet property for pairs of Banach spaces, Matematika, Fizika, Analiz i Geometria, 6 (1999) no. 3-4, 253--263,
with V. Kadets and D. Werner: Espaces de Banach ayant la propriété de Daugavet, C. R. Acad. Sci., Paris, S\'er. I, Math., 325 (1997) no. 12, 1291--1294,
with V. Kadets, B. Shumyatskiy, L. Tseytlin and K. Zheltukhin: Some remarks on vector-valued integration, Matematika, Fizika, Analiz i Geometria, 9 (2002), no.1, 48--65, pdf
A dimension-dependent maximal inequality, Proceeding of the Royal Society of Edinburgh: Section A Mathematics, 45 (2002), 547--548, pdf