标题：Relaxed Euler systems and convergence to Navier-Stokes equations
报告时间：2024年5月31日（星期五）9：00-10：00
报告地点：人民大街校区数学与统计学院619室
主讲人：彭跃军
主办单位：数学与统计学院
报告内容简介：
Consider the approximation of Navier-Stokes equations for a Newtonian fluid by Euler type systems with relaxation. This requires to decompose the second-order derivative terms of the velocity into first-order ones. If the Maxwell laws are concerned, the decompositions lead to approximate systems with scalar, vector and tensor variables. We construct approximate systems without tensor variables by using Hurwitz-Radon matrices, so that the systems can be written in the standard form of symmetrizable hyperbolic systems. For smooth solutions, we prove the convergence of the approximate systems to the Navier-Stokes equations in uniform time intervals. Global convergence in time holds if the initial data are near constant equilibrium states. We also prove the convergence of the approximate systems with tensor variables.
主讲人简介：
彭跃军，法国克莱蒙奥佛涅大学(University of Clermont Auvergne)数学系教授，国际著名偏微分方程专家。
