报告题目：Kinetic Shear Flow Governed by the Boltzmann Equation

报告时间：2022-12-02  16:00 - 17:00

报告人：段仁军 教授  香港中文大学

腾讯会议ID：953-6730-7604  会议密码：1104

报告链接：https://meeting.tencent.com/dm/ZA93IvnAaFNZ

Abstract：For a rarefied gas, a uniform shear flow is characterized at a macroscopic level as a state where the horizontal velocity is linear along its normal direction while the density and temperature remain spatially uniform. Due to the shearing motion that induces the viscous heat, the total energy and hence temperature monotonically increase in time. It is more fundamental to understand the change of energy under the effect of shear forces at the kinetic level where the gas motion is governed by the nonlinear Boltzmann equation. In this context, the USF state is defined as the one that is spatially homogeneous when the velocities of particles are referred to a Lagrangian frame moving with the given macro shearing velocity. In the talk I will present recent results in collaboration with Shuangqian Liu (CCNU) and Tong Yang (PolyU) on both the uniform shear flow and planar Couette flow via the Boltzmann equation.