PDE系列报告

报告题目：Global strong solutions to high-dimensional Nonhomogeneous incompressible 

Navier-Stokes equations with vacuum

报告人：吕博强 教授

报告时间：2022年10月12号周三15:00-16:00

腾讯会议：796 183 689

报告摘要：This talk concerned with the global strong solutions

to the Cauchy problem of 2D/3D nonhomogeneous incompressible Navier-Stokes equations with vacuum. First, it is proved that the 2D Cauchy problem of the nonhomogeneous incompressible Navier-Stokes equations admits a unique global strong solution provided that the initial density decays not too slow at infinity. Next, if the initial velocity is suitably small in, we obtain the global existence and large-time asymptotic behavior of strong solutions to the Cauchy problem of 3D nonhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity and vacuum.

报告人简介：吕博强，博士，南昌大学特聘教授，主要从事流体力学方程的数学理论研究，入选江西省主要学科学术和技术带头人培养计划青年人才，主持国家自然科学基金3项（面上、青年、天元各1项）、江西省自然科学基金3项（重点、一般、青年各1项）、中国博士后基金一等资助1项，《Arch. Rational Mech. Anal.》、《J. Math. Pures Appl.》、《Indiana Univ. Math. J.》、《Nonlinearity》等国际数学刊物上发表论文多篇。