## Infinitely many solutions to the isentropic system of gas dynamics

#### Speaker: Cheng Yu (University of Florida)

In this talk, I will discuss the non-uniqueness of global weak solutions to the isentropic system of gas dynamics. In particular, I will show that for any initial data belonging to a dense subset of the energy space, there exists infinitely many global weak solutions to the isentropic Euler equations for any $$1 < \gamma \leq 1 + 2/n$$. The proof is based on a generalization of convex integration techniques and weak vanishing viscosity limit of the Navier-Stokes equations. This talk is based on the joint work with M. Chen and A. Vasseur.

Time: March 31, 2023 2:30pm-3:30pm
Location: LeConte 440
Host: Siming He and Changhui Tan