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报告题目:

Relaxed Euler systems and convergence to Navier-Stokes equations

报告人:

彭跃军 教授(Blaise Pascal University, France)

报告时间:

报告地点:

理学院东北楼四楼报告厅(404)

报告摘要:

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.