Global unique solutions with instantaneous loss of regularity for SQG with fractional diffusion
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866917787087142912 |
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| author | Córdoba, Diego Martínez-Zoroa, Luis |
| author_facet | Córdoba, Diego Martínez-Zoroa, Luis |
| contents | In this work we construct global unique solutions of the dissipative Surface quasi-geostrophic equation ($α$-SQG) that lose regularity instantly when there is super-critical fractional diffusion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_07178 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Global unique solutions with instantaneous loss of regularity for SQG with fractional diffusion Córdoba, Diego Martínez-Zoroa, Luis Analysis of PDEs In this work we construct global unique solutions of the dissipative Surface quasi-geostrophic equation ($α$-SQG) that lose regularity instantly when there is super-critical fractional diffusion. |
| title | Global unique solutions with instantaneous loss of regularity for SQG with fractional diffusion |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2303.07178 |