Year: 2024
Author: Nuno J. Alves, José A. Carrillo, Young-Pil Choi
Communications in Mathematical Analysis and Applications, Vol. 3 (2024), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmaa.2024-0011
Communications in Mathematical Analysis and Applications, Vol. 3 (2024), Iss. 2 : pp. 266–286
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Euler-Riesz equations weak-strong uniqueness high-friction limit relative energy method.