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...
| Glavni autori: | , , |
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| Format: | Journal article |
| Jezik: | English |
| Izdano: |
Global Science Press
2024
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| _version_ | 1826314360622940160 |
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| author | Alves, NJ Carrillo, JA Choi, Y-P |
| author_facet | Alves, NJ Carrillo, JA Choi, Y-P |
| author_sort | Alves, NJ |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-09-25T04:29:38Z |
| format | Journal article |
| id | oxford-uuid:12c0fd75-4551-40a5-aba1-6ee28404d0c3 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-09-25T04:29:38Z |
| publishDate | 2024 |
| publisher | Global Science Press |
| record_format | dspace |
| spelling | oxford-uuid:12c0fd75-4551-40a5-aba1-6ee28404d0c32024-08-28T09:07:58ZWeak-strong uniqueness and high-friction limit for Euler-Riesz systemsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:12c0fd75-4551-40a5-aba1-6ee28404d0c3EnglishSymplectic ElementsGlobal Science Press2024Alves, NJCarrillo, JAChoi, Y-PIn 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. |
| spellingShingle | Alves, NJ Carrillo, JA Choi, Y-P Weak-strong uniqueness and high-friction limit for Euler-Riesz systems |
| title | Weak-strong uniqueness and high-friction limit for Euler-Riesz systems |
| title_full | Weak-strong uniqueness and high-friction limit for Euler-Riesz systems |
| title_fullStr | Weak-strong uniqueness and high-friction limit for Euler-Riesz systems |
| title_full_unstemmed | Weak-strong uniqueness and high-friction limit for Euler-Riesz systems |
| title_short | Weak-strong uniqueness and high-friction limit for Euler-Riesz systems |
| title_sort | weak strong uniqueness and high friction limit for euler riesz systems |
| work_keys_str_mv | AT alvesnj weakstronguniquenessandhighfrictionlimitforeulerrieszsystems AT carrilloja weakstronguniquenessandhighfrictionlimitforeulerrieszsystems AT choiyp weakstronguniquenessandhighfrictionlimitforeulerrieszsystems |