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 - <p style="text-align: justify;">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.</p>