Time: June 18th (Wednesday) 11:00
Place: Natural Science Building #744
Speaker: Dr. Junhwa Jung (Brown University)

Title: Diffusive limit of the Boltzmann equation with boundary conditions

Abstract:
The derivation of fluid equations from the Boltzmann equation is one of the most important problems in kinetic theory. In this talk, we investigate several results concerning the diffusive limit of the Boltzmann equation within the \(L^2 – L^\infty\) framework. Based on this framework, we present two results: (1) a global diffusive expansion in an exterior domain, and (2) the global hydrodynamic limit with Maxwell boundary conditions in a bounded domain.