Well-posedness of the 2D surface quasi-geostrophic equation in variable Lebesgue spaces
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909175420813312 |
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| author | Chen, Hao Vergara-Hermosilla, Gastón Zhao, Jihong |
| author_facet | Chen, Hao Vergara-Hermosilla, Gastón Zhao, Jihong |
| contents | In this paper, we are mainly concerned with the well-posedness of the dissipative surface quasi-geostrophic equation in the framework of variable Lebesgue spaces. Based on some analytical results developed in the variable Lebesgue spaces and the $L^{p}$-$L^{q}$ decay estimates of the fractional heat kernel, we establish the local existence and regularity of solutions to the 2D dissipative surface quasi-geostrophic equation in the variable Lebesgue space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_05127 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Well-posedness of the 2D surface quasi-geostrophic equation in variable Lebesgue spaces Chen, Hao Vergara-Hermosilla, Gastón Zhao, Jihong Analysis of PDEs 35Q35, 76D03 In this paper, we are mainly concerned with the well-posedness of the dissipative surface quasi-geostrophic equation in the framework of variable Lebesgue spaces. Based on some analytical results developed in the variable Lebesgue spaces and the $L^{p}$-$L^{q}$ decay estimates of the fractional heat kernel, we establish the local existence and regularity of solutions to the 2D dissipative surface quasi-geostrophic equation in the variable Lebesgue space. |
| title | Well-posedness of the 2D surface quasi-geostrophic equation in variable Lebesgue spaces |
| topic | Analysis of PDEs 35Q35, 76D03 |
| url | https://arxiv.org/abs/2404.05127 |