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 < γ ≤ 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.
This week's Analysis seminar may be attended at 4:00 PM CDT (UT-5) via this Zoom link. Meeting ID: 976 4978 7908 Passcode: 973073