学术报告 报告题目：The initial boundary value problem for the Boltzmann equation with soft potential
报 告 人：刘双乾 教授（暨南大学）
报告时间：9月29日（星期四）上午10:00-11:00
报告地点：4号楼4318室
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数学学院
2016年09月27日
报告摘要：
Boundary effects are central to the dynamics of the dilute particles governed by Boltzmann equation. In this talk, we will report some recent studies on both the diffuse reflection and the specular reflection boundary value problems for Boltzmann equation with soft potential. For the diffuse reflection boundary condition, we capture some new properties of the probability integrals along the stochastic cycles and improve the $L^2-L^/infty$ theory to give a more direct approach to obtain the global existence and time decay rate. As to the specular reflection condition, our key contribution is to develop a new time-velocity weighted $L^/infty$ theory so that we could deal with the greater difficulties stemmed from the
complicated velocity relations among the specular cycles and the zero lower bound of the collision frequency. These methods in the latter case can be applied to the Boltzmann equation with soft potential for all other types of boundary condition.