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

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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