报告题目：Global solutions of 2D isentropic compressible Navier-Stokes equations with one slow variable

报 告 人：吕勇 副教授（南京大学）

时    间：2021年12月29日（星期三） 上午10:00-11:00

地    点：金沙集团wwW3354CC 报告厅304

报告摘要:  We prove the global existence of solutions to the two-dimensional isentropic compressible Navier-Stokes equations with smooth initial data which is slowly varying in one direction and with initial density being away from vacuum. In particular, we present examples of initial data which generate unique global smooth solutions to 2D compressible Navier-Stokes equations with constant viscosity and with initial data which are neither small perturbation of constant state nor of small energy.

报告人简介：吕勇，南京大学副教授，博士生导师。本科毕业于中国科技大学数学系，在法国巴黎七大取得硕士和博士学位，之后在布拉格查理大学从事博士后研究。吕勇的研究领域是非线性几何光学以及流体力学中偏微分方程的数学分析，主要研究成果发表在Archive for Rational Mechanics and Analysis，Mémoires de la Société Mathématique de France，Calculus of Variations and Partial Differential Equations，SIAM: Journal on Mathematical Analysis, ESAIM: Control, Optimisation and Calculus of Variations，Journal of Differential Equations等很具影响力的期刊上。