Regularity of weak solutions to the 3D stationary tropical climate model

Abstract

This article studies the regularity of weak solutions to the 3D stationary tropical climate model. We prove that when (U,V,θ)\left(U,V,\theta ) belongs to the homogeneous Morrey space M˙2,p(R3){\dot{M}}^{2,p}\left({{\mathbb{R}}}^{3}) with p>3p\gt 3, then (U,V,θ)∈C∞(R3)\left(U,V,\theta )\in {C}^{\infty }\left({{\mathbb{R}}}^{3}).

Keywords

• weak solutions
• tropical climate model
• regularity
• 35b65
• 35q35