##### Department of Mathematics,

University of California San Diego

****************************

### 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.

****************************