Weak-strong uniqueness and high-friction limit for Euler-Riesz systems
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 ca...
| Principais autores: | , , |
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| Formato: | Journal article |
| Idioma: | English |
| Publicado em: |
Global Science Press
2024
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| Resumo: | 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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