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Vanishing viscosity limit for compressible Navier-Stokes equations with cylindrical symmetry

时间:2022-01-06 09:00

地点:腾讯会议 451 369 938

主讲人:温焕尧

主讲人中文简介:

华南理工大学数学学院副院长、教授、博士生导师,国家级青年人才。主要从事流体力学中的非线性偏微分方程的数学理论研究。研究成果发表在Adv. Math.、Arch. Rational Mech. Anal.、SIAM J. Math. Anal.、J. Functional Analysis、J. Math. Pures Appl. 、Math. Models Meth. Appl. Sci等杂志上。

内容摘要:

We consider the vanishing shear viscosity limit of the initial boundary value problem for the isentropic compressible Navier-Stokes equations with cylindrical symmetry. By using the matched asymptotic expansion, we derive explicit Prandtl type boundary layer equations. Moreover, we prove the global-in-time stability of the boundary layer profile together with the optimal convergence rate of the vanishing shear viscosity limit without any smallness assumption on the initial and boundary data. 

主持人:杜玲珑