2020年01月24日 (金) 17:00 -- 18:30 本館2階 213セミナー室
Jiang Xu 氏（Nanjing University of Aeronautics and Astronautics）
The optimal time-decay for compressible Navier-Stokes equations in the critical Lp framework
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 high dimensions has remained an open question. In this talk, we survey recent results not only in the L2 critical framework but also in the more general Lp critical framework, which are based on those collaborative works with R. Danchin and Z. Xin.