题目:Relaxation Approximation for Navier-Stokes Equations
报告人:彭跃军 教授 (克莱蒙奥佛涅大学)
地点:致远楼101室
时间:2019年12月26日上午10:00-11:00
摘要: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 terms. We use Hurwitz-Radon matrices for this decomposition. We prove the convergence of the approximate systems to the Navier-Stokes equations locally in time for smooth initial data and globally in time for initial data near constant equilibrium states.
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