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题目: Well-posedness of the free boundary problem in compressible elastodynamics

报告人:Yuri, Trakhinin, Sobolev Institute of Mathematics, Russia


摘要:We discuss recent results for the free boundary problem for the equations of compressible elastodynamics. We prove the local-in-time existence of a unique smooth solution of the free boundary problem provided that among three columns of the deformation gradient there are two which are non-collinear vectors at each point of the initial free boundary. If this non-collinearity condition fails, the local-in-time existence is proved under the classical Rayleigh-Taylor sign condition satisfied at the first moment. We show that the simultaneous failure of the non-collinearity condition and the Rayleigh-Taylor sign condition leads to Rayleigh-Taylor instability.

时间: 16:30-17:30, Oct. 9th


地点:Mengminwei Building 1105


邀请人:孙永忠  老师