I am a mathematician specializing in nonlinear partial differential equations. My work is primarily centered around fluid dynamics models, specifically the compressible Euler and Navier-Stokes equations. At present, my research focuses on the time-asymptotic behavior of solutions to the compressible Navier-Stokes equations in various domains.
The method of a-contraction with shifts used for long-time behavior toward viscous shock (with S. Han and M.-J. Kang) arXiv:2410.12875
Time-asymptotic stability of composite wave of viscous shocks and viscous contact wave for Navier-Stokes-Fourier equations (with X. Huang) arXiv:2504.04014