报告题目:Well-posedness on the vacuum free boundary problem of the viscous Saint-Venant system for shallow water in 2D
报告摘要:We will report the recent results on the local-in-time well-posedness of classical solutions to the vacuum free boundary problem of the viscous Saint-Venant system for shallow water in 2D. The solutions are shown to possess higher-order regularities uniformly up to the vacuum free boundary, although the depth degenerates as a singularity of the distance to the vacuum boundary. This is a joint work with Professor Hai-Liang Li (CNU) and Professor Zhouping Xin (CUHK).
报告时间:2024年10月29日下午4:30
报告地点:数学与统计学院学术报告厅D07
邀 请 人:马巧珍 教授 孙晋易 教授
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报告人简介
王跃循,兰州大学数学与统计学院教授,国家特聘青年专家。其主要研究兴趣为可压缩流体力学偏微分方程的适定性和色散偏微分方程的波的破裂以及动力学行为,相关研究成果发表于ARMA、CPDE、Math. Ann、SIMA等数学期刊。
甘肃省数学与统计学基础学科研究中心
数学与统计学院
2024年10月25日