Weak-strong uniqueness and high-friction limit for Euler-Riesz systems
arxiv(2024)
摘要
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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