On the stability of multi-dimensional rarefaction waves

发布时间：2023-08-31 作者：浏览次数：

Speaker:	于品	DateTime:	2023年9月1日（周五）上午10：00-11：00
Brief Introduction to Speaker: 于品，清华大学数学系与丘成桐科学数学中心教授，国家杰出基金获得者，从事偏微分方程方面的研究。2002年北京大学数学系毕业，2005年取得法国高等工科学校工程师学位，2010年在美国普林斯顿大学获得博士学位，自2010年回到清华大学工作。		Place:	6号楼2楼报告厅
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.