学术报告
Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical $L^{p}$ framework-徐江教授 (南京航空航天大学)
题目:Optimal time-decay estimates for the compressible Navier-Stokes equations in the critical $L^{p}$ framework
报告人:徐江教授 (南京航空航天大学)
摘要:
The global existence issue for the isentropic compressible Navier-Stokes equations in the critical regularity framework has been addressed by R. Danchin more than fifteen years ago. However, whether (optimal) time-decay rates could be shown in general critical spaces and any dimension $d/geq2$ has remained an open question. Here we give a positive answer to that issue not only in the $L^2$ critical framework but also in the more general $L^p$ critical framework, which is exactly as firstly observed by A. Matsumura and T. Nishida in the case $p=2$ and $d=3,$ for solutions with high Sobolev regularity. This is a joint work with R. Danchin.
时间:2017年1月12日(周四)下午3:00-4:00
地点:首都师范大学新教二北楼509教室
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