Some results on low regularity well-posedness of compressible Euler equations
报告专家：张华丽（湖南大学）
报告时间：2024年10月25日（星期五）10：00-11：00
报告地点：西南数学中心516
报告摘要：For the Cauchy problem of incompressible Euler equations, sharp regularity has been obtained to control the local existence of solutions. However, the sharp regularity problem for compressible Euler equations, especially with non-trivial vorticity and entropy remains open. The best-known 3D result is proved by Qian Wang (Ann. of Math., 195(2), 509-654, 2022). In this talk, we present an approach leading to well-posedness results for the 3D compressible Euler equations with relaxed assumptions on the regularity of the vorticity. Moreover, our idea can also be extended to relativistic Euler equations. The part is a joint work with Prof. Lars Andersson.
专家简介：张华丽，湖南大学数学学院副教授，毕业于复旦大学。研究方向为双曲型方程的适定性问题，曾访问德国马普引力物理所与瑞典Mittag-Leffler研究所。
邀请人：赵世良
