@Article{CMAA-3-266, author = {Alves , Nuno J.Carrillo , José A. and Choi , Young-Pil}, title = {Weak-Strong Uniqueness and High-Friction Limit for Euler-Riesz Systems}, journal = {Communications in Mathematical Analysis and Applications}, year = {2024}, volume = {3}, number = {2}, pages = {266--286}, 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.
}, issn = {2790-1939}, doi = {https://doi.org/10.4208/cmaa.2024-0011}, url = {http://global-sci.org/intro/article_detail/cmaa/23229.html} }