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报告题目: 杰出学者讲坛(七十七):Uniform shear flow via the Boltzmann equation with hard potentials
报 告 人: 刘双乾 教授
报告人所在单位: 华中师范大学
报告日期: 2023-10-20
报告时间: 16:00-17:00
报告地点: 光华东主楼2201
   
报告摘要:

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.

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本年度学院报告总序号: 20

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