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arXiv · 2404.18108

Weak-strong uniqueness and high-friction limit for Euler-Riesz systems

Nuno J. Alves·José A. Carrillo·Young-Pil Choi
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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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Nuno J. Alves, José A. Carrillo, Young-Pil Choi. 2024-04-28. Weak-strong uniqueness and high-friction limit for Euler-Riesz systems. https://doi.org/10.4208/cmaa.2024-0011

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