The joint Caltech-UCLA-USC Analysis and PDE Seminar: Infinitely many solutions to the isentropic system of gas dynamics
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Host: USC (online)
Cheng Yu, University of Florida
Abstract: 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 program is open to all eligible individuals. USC operates all of its programs and activities consistent with the university’s Notice of Non-Discrimination. Eligibility is not determined based on race, sex, ethnicity, sexual orientation or any other prohibited factor.
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