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Department of Mathematics,
University of California San Diego

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MATH 248 - Analysis Seminar

Linfeng Lin

USC

On the local existence of solutions to the Navier-Stokes-wave system with a free interface

Abstract:

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 $\epsilon\in(0,1/2)$. 

Host: Andrej Zlatos

January 18, 2023

2:00 PM

Zoom, please contact the organizers for the link.

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