勷勤数学•专家报告

题      目：On local solvability of Riemann problems with rarefaction waves and a single shock or vortex sheet

报  告  人： 贾瑨 助理教授  (邀请人：罗天文)

                                                  湖南大学

时      间： 2月21日  16：00-17:00

地     点：数科院西楼二楼会议室

报告人简介:

         贾瑨博士毕业于清华大学数学科学系，师从于品教授，目前担任湖南大学数学学院助理教授，从事非线性波动方程渐近行为的研究。

摘      要：

        In this talk, we discuss the derivation of simultaneous energy estimates for acoustic and vorticity waves within the rarefaction wave region of the two-dimensional isentropic Euler equations. We also examine nonlinear superposition principles involving rarefaction waves with either a shock wave (cf. Majda) or a vortex sheet (cf. Secchi–Coulombel). As an application, we establish the local existence of the S–R and R–V–R configurations. This is joint work with Prof. Tao Luo from City University of Hong Kong.

          欢迎老师、同学们参加、交流！