报告题目：Uniform shear flow via the Boltzmann equation with hard potentials
报告人：刘双乾教授（华中师范大学数学与统计学学院）
邀请人：熊林杰
时间：12月10日9:0-10:00（北京时间）
地点：数学学院425
摘要：The motion of rarefied gases for uniform shear flow at the kinetic level is governed by the spatially homogeneous Boltzmann equation with a deformation force. In this talk, I will report our recent study on the corresponding Cauchy problem with initial data of finite mass and energy for the collision kernel in case of hard potentials. We prove the global existence and large time behavior of solutions provided that the force strength is small enough. In particular, we make a rigorous justification of the uniform-in-time asymptotic expansion of solutions up to order 2 under a homoenergetic self-similar scaling that can capture the increase of temperature when time tends to infinity. This is a joint work with Prof. Renjun Duan.
报告人简介：刘双乾，华中师范大学数学与统计学学院教授。主要从事动理学方程以及相关宏观模型的数学理论研究，研究成果发表在Communications on Pure and Applied Mathematics、Journal of European Mathematical Society、 Communications in Mathematical Physics、Archive for Rational and Mechanics and Analysis、Transactions of the American Mathematical Society等杂志。先后主持国家杰出青年基金、国家自然科学基金面上项目等课题。
