On the Stability of Multi-Dimensional Rarefaction Waves
发布时间:2023年02月23日
浏览次数:2780
发布者: Wenqiong Li
主讲人: 于品(清华大学)
活动时间: 从 2023-02-28 16:00 到 17:00
场地: 北京国际数学研究中心,镜春园78号院(怀新园)77201室
于品,北京大学数学系校友,2010年博士毕业于普林斯顿大学,现为清华大学数学科学系教授,从事偏微分方程方面的研究。
Abstract: In his pioneering work in 1860, Riemann proposed the Riemann problem and solved it for isentropic gas in terms of shocks and rarefaction waves. It eventually became the foundation of the theory of one-dimension conservation laws developed in the 20th century. We prove the non-nonlinear structural stability of the Riemann problem for multi-dimensional isentropic Euler equations in the regime of rarefaction waves. This is a joint work with Tian-Wen Luo.