Presentation Name: Relaxed Euler systems and convergence to Navier-Stokes equations
Presenter: Prof. Yue-Jun Peng
Date: 2019-12-17
Location: 光华东主楼1501
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.
Annual Speech Directory: No.283

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