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訾瑞昭: Linear stability of the Couette flow in the 3D isentropic compressible Navier-Stokes equations

时间:2021-10-08来源:数学学院

报告时间:2021年10月9日(星期六)10:30-11:30

报告地点:翡翠科教楼B座1710会议室

:訾瑞昭 副教授

工作单位:华中师范大学

举办单位:数学学院

报告简介

Consider the linear stability of the three dimensional isentropic compressible Navier-Stokes equations on T×R×T. We prove the enhanced dissipation phenomenon for the linearized isentropic compressible Navier-Stokes equations around the Couette flow (y, 0, 0). Moreover, the lift-up phenomenon is also shown in this paper. Compared with the 3D incompressible Navier-Stokes equations [Ann. of Math.,185(2017), 541--608], the lift-up effect here is stronger due to the loss of the incompressible condition. This is based on a joint work with Lan Zeng and Zhifei Zhang.

报告人简介

訾瑞昭,副教授、华中师范大学首批“桂子青年学者”。主要从事流体中的偏微分方程解的适定性与稳定性的研究。在Mathematische Annalen, Archive for Rational Mechanics and Analysis,  Journal of Functional Analysis, Annales de l'Institut Henri Poincaré–Analyse non linéaire, SIAM Journal on Mathematical Analysis, Nonlinearity, Journal of Differential Equations等国际期刊上发表论文20余篇。先后主持国家自然科学基金青年科学基金项目及面上项目各一项

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