学术报告

Wild solutions to isentropic Euler equations starting from smooth initial data

发布人：发布时间： 2019-11-08

字体大小： 【小】 【中】 【大】

**题目: **Wild solutions to isentropic Euler equations starting from smooth initial data

**报告人: **Ondrej Kreml，Institute of Mathematics，Academic of Science，Czech Republic

**摘要: **We consider the isentropic Euler equations of gas dynamics in

the whole two-dimensional space and we prove the existence of a smooth initial datum which admits infinitely many bounded admissible weak solutions. Taking advantage of the relation between smooth solutions to the Euler system and to the Burgers equation we construct a smooth compression wave which collapses into a perturbed Riemann state at some time instant T > 0. In order to continue the solution after the formation of the discontinuity, we adjust and apply the L^\infty theory developed by De Lellis and Szekelyhidi and we construct infinitely many solutions.This is a joint work with E. Chiodaroli, V. Macha and S. Schwarzacher.

**时间：**2019年11月10日 10:30-11:30

**地点：**蒙民伟楼1105

**邀请人：**孙永忠 老师