Weak-Strong Uniqueness for the Isentropic Euler Equations with Possible Vacuum
Analysis of PDEs
2021-03-31 v1
Abstract
We establish a weak-strong uniqueness result for the isentropic compressible Euler equations, that is: As long as a sufficiently regular solution exists, all energy-admissible weak solutions with the same initial data coincide with it. The main novelty in this contribution, compared to previous literature, is that we allow for possible vacuum in the strong solution.
Cite
@article{arxiv.2103.16560,
title = {Weak-Strong Uniqueness for the Isentropic Euler Equations with Possible Vacuum},
author = {Shyam Sundar Ghoshal and Animesh Jana and Emil Wiedemann},
journal= {arXiv preprint arXiv:2103.16560},
year = {2021}
}