Modeling, analysis, computation and application of kinetic equations


Hydrodynamic limit with geometric correction in kinetic equations

Lei Wu

Carnegie Mellon University

Abstract:  

We consider the hydrodynamic limit of kinetic equations in 2D bounded domains. We disprove the classical theory of boundary layer derived from Milne problem and propose a new approach with geometric corrections. Also, we will utilize the L^2-L^{\infty} framework to study both the steady and evolutionary problems. This work helps to clarify some longtime confusion in this field and can possibly be extended to more general cases.