English

Global Well-posedness of Strong Solutions to the 3D Primitive Equations with Horizontal Eddy Diffusivity

Analysis of PDEs 2014-01-08 v1 Atmospheric and Oceanic Physics Fluid Dynamics Geophysics

Abstract

In this paper, we consider the initial-boundary value problem of the 3D primitive equations for oceanic and atmospheric dynamics with only horizontal diffusion in the temperature equation. Global well-posedness of strong solutions are established with H2H^2 initial data.

Keywords

Cite

@article{arxiv.1401.1234,
  title  = {Global Well-posedness of Strong Solutions to the 3D Primitive Equations with Horizontal Eddy Diffusivity},
  author = {Chongsheng Cao and Jinkai Li and Edriss S. Titi},
  journal= {arXiv preprint arXiv:1401.1234},
  year   = {2014}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1312.6035