@Article{CMAA-3-2, author = {Nuno, J., Alves and José, Carrillo, A. and Young-Pil, Choi}, 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 = {https://global-sci.com/article/90968/weak-strong-uniqueness-and-high-friction-limit-for-euler-riesz-systems} }