$L^2$ Stability and Weak-BV Uniqueness for Nonisentropic Euler Equations
We prove the $L^2$ stability for weak solutions of non-isentropic Euler equations in one space dimension whose initial data are perturbed from a small BV data under the $L^2$ distance. Using this result, we can show the uniqueness of small BV solutions among a large family of weak solutions.
Authors
- Alexis Vasseur
- Geng Chen (ORCID: https://orcid.org/0000-0002-3452-9434)
Publication Details
- Journal
- Communications in Mathematical Analysis and Applications
- Published
- 2024-08-25
- DOI
- https://doi.org/10.4208/cmaa.2024-0019
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00