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

Published 28 Apr 2024 in math.AP | (2404.18108v1)

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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