Special Session 95: 

Dynamics of singularities in dissipative kinetic equations

Hyung Ju Hwang
POSTECH
Korea
Co-Author(s):    Yan Guo, Juhi Jang, Jinoh Kim, Juan Velazquez
Abstract:
We describe the structure of solutions of dissipative kinetic equations in domains with boundaries near the singular set. Representative equations are the kinetic Fokker-Planck and Landau equations. We discuss in particular the well-posedness and the regularity of solutions of these equations with various boundary conditions.