Global existence for the primitive equations with small anisotropic viscosity

被引：0

作者：

Charve, Frederic ^{[1
]}

Ngo, Van-Sang ^{[1
]}

机构：

[1] UPEC, Lab Anal & Math Appl, UMR 8050, F-94010 Creteil, France

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2011年 / 27卷 / 01期

关键词：

Primitive equations; quasi-geostrophic system; anisotropy; dispersion; Strichartz estimates; NAVIER-STOKES EQUATIONS; VORTEX PATCHES; REGULARITY; FLUIDS; CONVERGENCE; ASYMPTOTICS; SYSTEM; LAYERS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the primitive equations with zero vertical viscosity, zero vertical thermal diffusivity, and the horizontal viscosity and horizontal thermal diffusivity of size epsilon(alpha) where 0 < alpha < alpha(0). We prove the global existence of a unique strong solution for large data provided that the Rossby number is small enough (the rotation and the vertical stratification are large).

引用

页码：1 / 38

页数：38