国家天元数学中部中心偏微分方程系列报告 | 罗辰昀 助理教授(香港中文大学)

发布时间: 2022-12-06 16:58

报告目:Recent Developments in Compressible Water Waves with Vorticity

报告时间:2022-12-16  15:00 - 16:00

报告人:罗辰昀 助理教授  香港中文大学

腾讯会议ID:317-3235-2863  会议密码:1216

报告链接:https://meeting.tencent.com/dm/2UKiZVAxI6e0

报告摘要:We survey some recent results concerning the motion of 3D water waves described by the compressible Euler equations in an unbounded domain with a moving top boundary and a fixed flat bottom. The water waves are influenced by gravity and surface tension, and the velocity is not assumed to be irrotational. Specifically, we exhibit a newly developed unified approach through which we can prove the local well-posedness, incompressible limit, as well as zero surface tension limit all in one attempt. A large part of this talk is based on recent joint works with Junyan Zhang (NUS).