Spatial behavior of the solution to the Boltzmann equation with hard potentials
吳恭儉教授國立成功大學數學系 下午 3:30–5:00 鴻經館 107 室Abstract：
The main goal of this talk is to understand the quantitative spatial decay of the solution to the Boltzmann equation with hard potentials for both linear and nonlinear problems. For the nonlinear study, we get the spatial behavior by using the nonlinear weighted energy estimate. For the linear study, we get the quantitative space-time behavior under some slow velocity decay assumption, but without regularity assumption on the initial data. Both results reveal that hard sphere and hard potential models differ in their spatial behaviors. This is a joint work with Yu-Chu Lin and Haitao Wang.