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Academic Events

Relaxed Euler systems and convergence to Navier-Stokes equations

WHEN: Monday, 2019, August13-15:00

WHERE: Room 526, Xingjian Building

SPONSOR

School of Mathematical Science, Nanjing Normal University

SPEAKER(S):Peng Yuejun

DETAILS:Professor Peng Yuejun received his Master's degree in Mathematics Department of Fudan University in 1986. His tutor is Academician Li Daqian. In 1992, he received his doctorate from Lyon Normal University, France. His tutor is Denis Serre, a famous expert of partial differential equations in France. Professor Peng Yuejun's research work involves weak entropy solutions of conservation law equations, smooth solutions of Quasilinear Hyperbolic equations, asymptotic limits of hydrodynamic models in ionic and semiconductor sciences, and analysis of initial and boundary layers of partial differential equations. More than 70 SCI papers have been published in Annales IHP Analyse Non Line aire, J. Math. Pures Appl., SIAM J. Math. Anal., J. Diff. Equations, Comm. Part. Diff. Equations and other international high-level journals. He is the author of Some Problems on Nonlinear Hyperbolic Equations and Applications, published by World Scientific Publishing Company.

ABSTRACT: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