Choi, Kyudong

Research interests : Analysis in PDEs

Fluid dynamics

-3D Navier-Stokes equations

-3D Euler equations

-2D Boussinesq system

Conservation laws

Mathematical Biology

Publications and preprints :

-(with T. Hou, A. Kiselev, G. Luo, V. Sverak, and Y. Yao) On the Finite-Time Blowup of a 1D Model for the 3D Axisymmetric Euler Equations, to appear in Comm. Pure Appl. Math.

-(with A. Kiselev and Y. Yao) Finite time blow up for a 1D model of 2D Boussinesq system, 2013, Comm. Math. Phys., 334 (2015), 1667 - 1679

-(with A. Vasseur) Short-time stability of scalar viscous shocks in the inviscid limit by the relative entropy method, SIAM J. Math. Anal. 47 (2015), 1405 - 1418

-Persistence of Holder continuity for non-local integro-differential equations, Discrete Contin. Dyn. Syst. - Series A, 33 (2013), 1741 - 1771

-(with A. Vasseur) Estimates on fractional higher derivatives of weak solutions for the Navier-Stokes equations, 2011, Ann. Inst. H. Poincar´e Anal. Non Lin´eaire, 31 (2014), 899 - 945