Special Session 51: 

Global solutions to the Boltzmann equation in an infinitely expanding ball

Wenbin Zhao
City University of Hong Kong
Hong Kong
Co-Author(s):    Yin, Huicheng
Abstract:
In this paper, we are concerned with the global existence and large time behavior of mild solutions to the Boltzmann equation in an infinitely expanding ball. The gas in the expanding ball becomes rarefied and eventually tends to a vacuum state. A constructive $L^2$ decay is derived for the pure specular-reflection boundary condition.