报告人：袁源（华南师范大学）

邀请人：雷远杰

报告时间：2024年4月18日（星期四）10:30-12:00

报告地点：东三十二楼115室

报告题目：Instantaneous blowup of the entropy for the compressible Navier-Stokes equations

报告摘要：This talk concerns the vacuum free boundary problem and the Cauchy problem (with far field vacuum) of nonisentropic compressible Navier-Stokes equations. It is proved that with improper decaying rates of the initial density and temperature to the vacuum, the entropy of the classical solutions will blowup instantaneously. These are joint works with Professor Zhouping XIN from the Chinese University of Hong Kong, Professor Jinkai LI from South China Normal University and Dr. Xin LIU from Texas A&M University.

报告人简介：袁源，华南师范大学数学科学学院副研究员。主要从事流体动力学方程方面的研究，包括磁流体自由界面问题、含真空的Navier-Stokes方程自由界面问题、守恒律方程的周期扰动问题等。目前已在JMPA、M3AS、IUMJ、SIMA、中国科学数学（SCM）等国际学术期刊上发表SCI论文9篇。