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

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 $H^2$ initial data.

arXiv admin note: substantial text overlap with arXiv:1312.6035

References in corpus (1)

• Local and Global Well-posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity