Quantitative compactness estimates for stochastic conservation laws
Analysis of PDEs
2023-01-10 v1
Abstract
We present a quantitative compensated compactness estimate for stochastic conservation laws, which generalises a previous result of Golse & Perthame (2013) for deterministic equations. With a stochastic modification of Kruzkov's interpolation lemma, this estimate provides bounds on the rate at which a sequence of vanishing viscosity solutions becomes compact. This contribution is for the Proceedings of HYP2022.
Keywords
Cite
@article{arxiv.2301.03452,
title = {Quantitative compactness estimates for stochastic conservation laws},
author = {Kenneth H. Karlsen},
journal= {arXiv preprint arXiv:2301.03452},
year = {2023}
}