Session Time & Room : 5D (Aug.25, 15:30-17:10) @D101
Type : Contributed Talk
Abstract : BGK equation is a relaxation model of the Boltzmann equation for simulation of various kinetic flow problems. In this work, we study asymptotic stability of the BGK model when the initial data is not necessarily close to global equilibrium pointwisely. Main difficulty of the BGK equation comes from the highly nonlinear structure of the relaxation operator. To overcomes this issue, we derive refined control of macroscopic fields to guarantee the system enters quadratic nonlinear regime.
