Weak-strong uniqueness and high-friction limit for Euler-Riesz systems
Analysis of PDEs
2024-07-09 v1
Abstract
In this work we employ the relative energy method to obtain a weak-strong uniqueness principle for a Euler-Riesz system, as well as to establish its convergence in the high-friction limit towards a gradient flow equation. The main technical challenge in our analysis is addressed using a specific case of a Hardy-Littlewood-Sobolev inequality for Riesz potentials.
Cite
@article{arxiv.2404.18108,
title = {Weak-strong uniqueness and high-friction limit for Euler-Riesz systems},
author = {Nuno J. Alves and José A. Carrillo and Young-Pil Choi},
journal= {arXiv preprint arXiv:2404.18108},
year = {2024}
}