News icon 学术报告
Gywm line

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

Date icon 2017-10-09