学术报告
Well-posedness and energy conservation for some compressible fluid models-Prof Agnieszka Swierczewska-Gwiazda (University of Warsaw)
题目： Well-posedness and energy conservation for some compressible fluid models
报告人：Prof Agnieszka Swierczewska-Gwiazda (University of Warsaw)
Abstract：
The talk concerns compressible Euler equations and some systems of a similar structure, including pressureless Euler with non-local forcing and avalanche flow model. Firstly we shall concentrate on weak solutions and discuss the issue of non-uniqueness and the non-conservation of the energy. We show the existence of infinitely many global-in-time weak solutions for any bounded initial data by adapting the method of convex integration, used to the incompressible Euler system by De Lellis and Szekelyhidi. Then we consider the class of dissipative solutions satisfying, in addition, the associated global energy balance (inequality). Similarly to P. Constantin W. E and E. Titi we give suffcient conditions on the regularity of solutions to the compressible isentropic Euler systems in order for the energy to be conserved. The talk is based on several recent joint results with Jose A. Carrillo, Eduard Feireisl, Piotr Gwiazda and Emil Wiedemann.
时间：4月18日(周二)下午4:30--5:30
地点：首师大校本部新教二楼524
欢迎全体师生积极参加！
