On the Local Existence of Solutions to the Navier-Stokes-Wave System with a Free Interface
Time: 2022-12-06
Published By: Wenqiong Li
Speaker(s): Linfeng Li (University of Southern California)
Time: 10:30-11:30 December 6, 2022
Venue: Online
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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