70net永乐高2023年第 43 期数理大讲堂

报告题目：Global well-posedness of classical solutions to compressible Navier-Stokes equations with degenerate viscosities and vacuum

主讲人：李 浩 浙江师范大学数学科学学院

主持人：杜利怀 70net永乐高

报告时间：2023年12月15日 上午10:00-11:00

报告地点：3B301

摘要：

In this talk, we will focus on the compressible Navier-Stokes equations with degenerate viscosities. First, we identify a class of one dimensional initial data, which admits a global classical solution with far field vacuum to the Cauchy problem. Second, we investigate the spherically symmetric flow and establish the global existence of unique spherically symmetric classical solution for large initial data and far field vacuum. This talk is based on a joint work with Yue Cao (ECUST) and Shengguo Zhu (SJTU).

专家简介：

李浩，浙江师范大学数学科学学院讲师，博士毕业于上海交通大学，复旦大学博士后。主要从事偏微分方程的理论研究，在SIAM J. Math. Anal、 J. Math. Fluid Mech.、 J. Hyperbolic Differ. Equ等国际期刊发表论文多篇，现主持国家自然科学基金青年项目一项。