203 citations · 573 across the 23 of their papers we have counts for
26 papers
Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity II: close to initial data
Chongsheng Cao, Jinkai Li, Edriss S. Titi +1
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 viscos…
Global well-posedness for a rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number
Chongsheng Cao, Yanqiu Guo, Edriss S. Titi
We analyze a three-dimensional rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number, i.e., when the momentum diffusivity is much mor…
On the Well-posedness of Reduced Primitive Geostrophic Adjustment Model with Weak Dissipation
Chongsheng Cao, Quyuan Lin, Edriss S. Titi
In this paper we prove the local well-posedness and global well-posedness with small initial data of the strong solution to the reduced primitive geostrophic adjustment model…
Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation
Chongsheng Cao, Yanqiu Guo, Edriss S. Titi
We study a three-dimensional fluid model describing rapidly rotating convection that takes place in tall columnar structures. The purpose of this model is to investigate the cyclon…
Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation
Chongsheng Cao, Yanqiu Guo, Edriss S. Titi
We study the three-dimensional Hasegawa-Mima model of turbulent magnetized plasma with horizontal viscous terms and a weak vertical dissipative term. In particular, we establish th…
Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity
Chongsheng Cao, Jinkai Li, Edriss S. Titi
In this paper, we consider the 3D primitive equations of oceanic and atmospheric dynamics with only horizontal eddy viscosities in the horizontal momentum equations and only vertic…