L2 Stability and Weak-BV Uniqueness for Nonisentropic Euler Equations
Year: 2024
Author: Geng Chen, Alexis F. Vasseur
Communications in Mathematical Analysis and Applications, Vol. 3 (2024), Iss. 3 : pp. 450–482
Abstract
We prove the L2 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 L2 distance. Using this result, we can show the uniqueness of small BV solutions among a large family of weak solutions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmaa.2024-0019
Communications in Mathematical Analysis and Applications, Vol. 3 (2024), Iss. 3 : pp. 450–482
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 33
Keywords: Compressible Euler system uniqueness stability relative entropy conservation law.
Author Details
Geng Chen Email
Alexis F. Vasseur Email