$L^2$ Stability and Weak-BV Uniqueness for Nonisentropic Euler Equations
Commun. Math. Anal. Appl., 3 (2024), pp. 450-482.
Published online: 2024-09
Cited by
Export citation
- BibTex
- RIS
- TXT
@Article{CMAA-3-450,
author = {Chen , Geng and Vasseur , Alexis F.},
title = {$L^2$ Stability and Weak-BV Uniqueness for Nonisentropic Euler Equations},
journal = {Communications in Mathematical Analysis and Applications},
year = {2024},
volume = {3},
number = {3},
pages = {450--482},
abstract = {
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.
}, issn = {2790-1939}, doi = {https://doi.org/10.4208/cmaa.2024-0019}, url = {http://global-sci.org/intro/article_detail/cmaa/23384.html} }
TY - JOUR
T1 - $L^2$ Stability and Weak-BV Uniqueness for Nonisentropic Euler Equations
AU - Chen , Geng
AU - Vasseur , Alexis F.
JO - Communications in Mathematical Analysis and Applications
VL - 3
SP - 450
EP - 482
PY - 2024
DA - 2024/09
SN - 3
DO - http://doi.org/10.4208/cmaa.2024-0019
UR - https://global-sci.org/intro/article_detail/cmaa/23384.html
KW - Compressible Euler system, uniqueness, stability, relative entropy, conservation law.
AB -
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.
Geng Chen & Alexis F. Vasseur. (2024). $L^2$ Stability and Weak-BV Uniqueness for Nonisentropic Euler Equations.
Communications in Mathematical Analysis and Applications. 3 (3).
450-482.
doi:10.4208/cmaa.2024-0019
Copy to clipboard