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Well-posedness of classical solutions to the vacuum free boundary problem of the viscous Saint-Venant system for shallow waters

发布时间:2022-11-22 浏览量:58

时   间:  2022-11-22 10:00 — 11:00

地   点:  腾讯会议APP4()
报告人:  王跃循
单   位:  兰州大学
邀请人:  王海涛
备   注:  腾讯会议号:722893254, 密码:221122
报告摘要:  

We establish the local-in-time well-posedness of classical solutions to the vacuum free boundary problem of the viscous Saint-Venant system for shallow waters derived rigorously from incompressible Navier-Stokes system with a moving free surface by Gerbeau and Perthame. Our solutions are smooth to the moving boundary, although the initial height degenerates as a singularity of the distance function to the vacuum boundary.