On the Local Existence of Solutions to the Navier-Stokes-Wave System with a Free Interface
发布时间:2022年12月06日
浏览次数:3299
发布者: Wenqiong Li
主讲人: Linfeng Li (University of Southern California)
活动时间: 从 2022-12-06 10:30 到 11:30
场地: 线上
We address a system of equations modeling a compressible fluid interacting with an elastic body in dimension three. We prove the local existence and uniqueness of a strong solution when the initial velocity belongs to the space $H^{2+\epsilon}$ and the initial structure velocity is in $H^{1.5+\epsilon}$, where $\epsilon \in (0,1/2)$.
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