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学术报告七十三:訾瑞昭—Linear stability of the Couette flow in the 3D isentropic compressible Navier-Stokes equations

鸿博体育(集团)有限公司:2021-10-08 作者: 点击数:

报告鸿博体育(集团)有限公司:2021109日(星期六)10:30-11:30

报告地点:翡翠科教楼B1710会议室

报 告 人:訾瑞昭 副教授

工作单位:华中师范大学 数学与统计学院

举办单位:鸿博体育(集团)有限公司

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。Mathematische Annalen Archive for Rational Mechanics and Analysis, Journal of Functional Analysis, Annales de l'Institut Henri PoincaréAnalyse non linéaire, SIAM Journal on Mathematical Analysis, Nonlinearity, Journal of Differential Equations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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