Weak-strong uniqueness and high-friction limit for Euler-Riesz systems
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916314948304896 |
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| author | Alves, Nuno J. Carrillo, José A. Choi, Young-Pil |
| author_facet | Alves, Nuno J. Carrillo, José A. Choi, Young-Pil |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18108 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weak-strong uniqueness and high-friction limit for Euler-Riesz systems Alves, Nuno J. Carrillo, José A. Choi, Young-Pil Analysis of PDEs 35Q31 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. |
| title | Weak-strong uniqueness and high-friction limit for Euler-Riesz systems |
| topic | Analysis of PDEs 35Q31 |
| url | https://arxiv.org/abs/2404.18108 |