20221215 王跃循 Well-posedness of classical solutions to the vacuum free boundary problem of the viscous Saint-Venant system for shallow waters

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

报告人：王跃循教授（兰州大学数学与统计学院）

邀请人；熊林杰

时间：12月15日（周四）15:00-16：00（北京时间）

腾讯会议：228 395 775（无密码）

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.

报告人简介：王跃循，兰州大学数学与统计学院教授，博士生导师，国家特聘青年专家。主要从事流体力学偏微分方程与色散偏微分方程的研究，相关结果发表在ARMA、 CPDE、SIMA、JDE等国际数学期刊。