Work

$L^2$ Stability and Weak-BV Uniqueness for Nonisentropic Euler Equations

Year: 2024

Type: article

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.

Source: Communications in Mathematical Analysis and Applications

DOI: 10.4208/cmaa.2024-0019

Authors: Geng Chen, Alexis F. Vasseur

Institutions: University of Kansas, The University of Texas at Austin

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4401866402

FWCI: 0.781

Cites: 35

Cited by: 1

Related to: 10