学术报告

题      目： Global solutions of 2D isentropic compressible Navier-Stokes equations with one slow variable

报  告  人：吕勇   博士  (邀请人：黄锐 )

                                  南京大学

时      间：2022-06-22 10:30-11:30

地      点：学院401报告厅 

报告人简介:

       国家高层次青年人才入选者，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。主要研究领域是偏微分方程的数学分析，侧重在数学几何光学以及数学流体力学两个方向，主要研究成果发表在ARMA, SIAM J. Math. Anal.，CVPDE等刊物上。

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.