Cao, Chongsheng and Li, Jinkai and Titi, Edriss S. and Wang, Dong
(2024)
*Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity II: close to H1 initial data.*
arXiv (Preprint)
.
(Unpublished)

Full text not available from this repository.

Official URL: https://doi.org/10.48550/arXiv.2408.06932

## Abstract

In this paper, we consider the initial-boundary value problem to the three-dimensional primitive equations for the oceanic and atmospheric dynamics with only horizontal eddy viscosities in the horizontal momentum equations and only vertical diffusivity in the temperature equation in the domain Ω=M×(−h,h), with M=(0,1)×(0,1). Global well-posedness of strong solutions is established, for any initial data (v0,T0)∈H1(Ω)∩L∞(Ω) with (∂zv0,∇HT0)∈Lq(Ω) and v0∈L1z(B1q,2(M)), for some q∈(2,∞), by using delicate energy estimates and maximal regularity estimate in the anisotropic setting.

Item Type: | Article |
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Subjects: | Mathematical and Computer Sciences Mathematical and Computer Sciences > Mathematics Mathematical and Computer Sciences > Mathematics > Applied Mathematics |

Divisions: | Department of Mathematics and Computer Science > Institute of Mathematics |

ID Code: | 3155 |

Deposited By: | Lukas-Maximilian Jaeger |

Deposited On: | 14 Aug 2024 11:57 |

Last Modified: | 14 Aug 2024 11:57 |

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