Regularity criteria for the 3D tropical climate model in Morrey-Campanato space
In this paper we investigate the regularity criterion for the local-in-time smooth solution to the three-dimensional (3D) tropical climate model in the Morrey– Campanato space. It is shown that if u satisfies Z T 0 k∇u(t)k 2 r M˙ 2,3/r ln(ku(t)kL 2 + e) dt < ∞ with 0 < r < 1, then the smoot...
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| Dokumentumtípus: | Folyóirat |
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2019
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Differenciálegyenlet, Matematikai modell |
| doi: | 10.14232/ejqtde.2019.1.48 |
| Online Access: | http://acta.bibl.u-szeged.hu/62272 |
| Tartalmi kivonat: | In this paper we investigate the regularity criterion for the local-in-time smooth solution to the three-dimensional (3D) tropical climate model in the Morrey– Campanato space. It is shown that if u satisfies Z T 0 k∇u(t)k 2 r M˙ 2,3/r ln(ku(t)kL 2 + e) dt < ∞ with 0 < r < 1, then the smooth solution (u, v, θ) can be extended past time T. |
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| Terjedelem/Fizikai jellemzők: | 1-11 |
| ISSN: | 1417-3875 |