A proof of Onsager's Conjecture for the SQG equation
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912567532716032 |
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| author | Isett, Philip Looi, Shi-Zhuo |
| author_facet | Isett, Philip Looi, Shi-Zhuo |
| contents | We construct solutions to the SQG equation that fail to conserve the Hamiltonian while having the maximal allowable regularity for this property to hold. This result solves the generalized Onsager conjecture on the threshold regularity for Hamiltonian conservation for SQG. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02578 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A proof of Onsager's Conjecture for the SQG equation Isett, Philip Looi, Shi-Zhuo Analysis of PDEs Mathematical Physics We construct solutions to the SQG equation that fail to conserve the Hamiltonian while having the maximal allowable regularity for this property to hold. This result solves the generalized Onsager conjecture on the threshold regularity for Hamiltonian conservation for SQG. |
| title | A proof of Onsager's Conjecture for the SQG equation |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2407.02578 |