@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} }