Strong solutions to the 3D primitive equations with only horizontal dissipation: near $H^1$ initial data

@article{Cao2016StrongST,
  title={Strong solutions to the 3D primitive equations with only horizontal dissipation: near \$H^1\$ initial data},
  author={Chongsheng Cao and Jinkai Li and Edriss S. Titi},
  journal={arXiv: Analysis of PDEs},
  year={2016}
}
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References

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Global Well-posedness of the 3D Primitive Equations with Only Horizontal Viscosity and Diffusion
In this paper, we consider the initial-boundary value problem of the 3D primitive equations for planetary oceanic and atmospheric dynamics with only horizontal eddy viscosity in the horizontal
A Tropical Atmosphere Model with Moisture: Global Well-posedness and Relaxation Limit
In this paper, we consider a nonlinear interaction system between the barotropic mode and the first baroclinic mode of the tropical atmosphere with moisture; that was derived in [Frierson, D.M.W.;
Finite-Time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics
In an earlier work we have shown the global (for all initial data and all time) well-posedness of strong solutions to the three-dimensional viscous primitive equations of large scale oceanic and
Global well-posedness of strong solutions to a tropical climate model
In this paper, we consider the Cauchy problem to the TROPIC CLIMATE MODEL derived by Frierson-Majda-Pauluis in [Comm. Math. Sci, Vol. 2 (2004)] which is a coupled system of the barotropic and the
Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion
In this paper, we consider the initial boundary value problem of the three‐dimensional primitive equations for planetary oceanic and atmospheric dynamics with only horizontal eddy viscosity in the
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Abstract.For the system of equations describing the large-scale ocean dynamics, an existence and uniqueness theorem is proved “in the large”. This system is obtained from the 3D Navier–Stokes
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TLDR
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