Current Teaching

Research Interest

My research focuses on the analysis of nonlinear partial differential equations, especially on the fundamental wellposedness/illposedness issues, and long time asymptotic behavior of solutions. Specifically I have worked on:

  • Mathematical fluid dynamics (Navier-Stokes, Euler, Surface quasi-geostrophic equations)
  • Mathematical physics (this includes nonlinear dispersive equations such as nonlinear Schrödinger and wave equations, Euler-Poisson systems in plasma physics, the Skyrme model, Gross-Pitaevskii equation)
  • Mathematical biology (aggregation equations, Keller-Segel type chemotaxis)

In Press & more

Scholar Activities

  • The Texas Analysis and Mathematical Physics Symposium (TexAMP), Nov 21–23, 2014 at UT Austin
  • AMS Fall Western Section Meeting in San Francisco (Meeting 1104), Oct 2014, as Co-organizer
  • 4th Abel Conference: A Celebration of Yakov G.Sinai, Oct31-Nov 1, 2014