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.