Karen Zaya

University of Illinois at Chicago

Department of Mathematics, Statistics, and Computer Science (M/C 249)
851 South Morgan Street
Chicago, IL 60607-7045

Email:

Office:

731 SEO

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I am PhD student in the Department of Mathematics, Statistics and Computer Science. I am interested in mathematical fluid dynamics, specifically questions regarding regularity for the Navier-Stokes equations and the Euler equations.

Research Papers:

• K. Zaya, "Regularity criterion for the three-dimensional Boussinesq equations," submitted, available at arXiv:1503.01784.
  
• A. Cheskidov and K. Zaya, "Lower bounds of potential blow-up solutions of the three-dimensional Navier-Stokes equations in H^(3/2)," Journal of Mathematical Physics 57 (2016).
  
• A. Cheskidov and K. Zaya, "Regularizing effect of the forward energy cascade in the inviscid dyadic model," Proceeding of the American Mathematical Society 144 (2016).

Selected Talks and Presentations:

• University of Virginia, Harmonic Analysis and PDEs Seminar, Speaker: "On Regularity Properties of Fluid Equations," November 2015.
  
• Rice University, Analysis of PDEs of Fluid Mechanics and Related Models Mini-school and Workshop, Poster Presentation: "Lower Bounds for Sobolev Norms of Potential Blow Up Solutions to the Three-dimensional Navier-Stokes Equations," October 2015.
  
• Loyola University, AMS Sectional Meeting #1112, Poster Presentation: "Lower Bounds for Sobolev Norms of Potential Blow Up Solutions to the Three-dimensional Navier-Stokes Equations," October 2015.
  
• Mathematisches Forschungsinstitut Oberwolfach, Mathematical Aspects of Hydrodynamics, Poster Presentation: "Lower Bounds for Sobolev Norms of Potential Blow Up Solutions to the Three-dimensional Navier-Stokes Equations," October 2015.
  
• Georgetown University, AMS Sectional Meeting #1107, Special Session on Mathematical Fluid Dynamics and Turbulence, Speaker: "Lower Bounds for Sobolev Norms of Potential Blow Up Solutions to the Three-dimensional Navier-Stokes Equations," March 2015.
  
• Institute for Pure and Applied Mathematics, Mathematics of Turbulence Long Program, Speaker: "Regularizing Effect of the Forward Energy Cascade in the Inviscid Dyadic Model," September 2014.
  
• Indiana University, PDE/Applied Math Seminar, Speaker: "Regularizing Effect of the Forward Energy Cascade in the Inviscid Dyadic Model," March 2014.
  
• Joint Mathematics Meetings, AMS Special Session on Regularity Problem for Nonlinear PDEs Modeling Fluids and Complex Fluids, "Regularizing Effect of the Forward Energy Cascade in the Inviscid Dyadic Model," January 2014.
  
• SIAM Conference on Analysis of Partial Differential Equations: Analysis of Nonlinear Differential Equations Arising in Fluid Dynamics Session, Speaker: "Regularizing Effect of the Forward Energy Cascade in the Inviscid Dyadic Model," December 2013.
  
• University of Illinois at Chicago, Applied Mathematics Seminar, Speaker: "Regularizing Effect of the Forward Energy Cascade in the Inviscid Dyadic Model," November 2013.
  
• University of Illinois at Chicago, Graduate Student Colloquium, Speaker: "Regularizing Effect of the Forward Energy Cascade in the Inviscid Dyadic Model," October 2013.