Global classical solutions to the isentropic compressible Navier-Stokes equations
报告题目(Title)： Global classical solutions to the isentropic compressible Navier-Stokes equations
报告人(Speaker)：洪广益 助理教授 （华南理工大学）
地点(Place)：腾讯会议 ID：592 629 086
时间(Time)：2021-06-24（星期四）， 3:00-4:00 pm （Beijing Time）
邀请人(Inviter)：许孝精, 袁迪凡
报告摘要
In this talk, we will show the global existence and uniqueness of classical solutions with large initial energy and vacuum to the Cauchy problem for 3D isentropic compressible Navier-Stokes equations under the assumption that the fluid is almost isothermal (i.e., $\gamma-1$ is small enough), and that the far-field density $\tilde{\rho}$ is vacuum or close to vacuum. Our results generalize previous ones in [X.D. Huang, J. Li, Z.P. Xin, Comm. Pure Appl. Math. (2012)] on classical solutions with vacuum and small energy (large oscillations). This is joint work with Xiaofeng Hou, Hongyun Peng and Prof. Changjiang Zhu.
