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

被引:1
|
作者
Chongsheng Cao
Jinkai Li
Edriss S. Titi
机构
[1] Florida International University,Department of Mathematics
[2] University Park,Department of Computer Science and Applied Mathematics
[3] Weizmann Institute of Science,Department of Mathematics
[4] University of California,Department of Mechanical and Aerospace Engineering
[5] University of California,undefined
来源
Archive for Rational Mechanics and Analysis | 2014年 / 214卷
关键词
Global Existence; Strong Solution; Local Existence; Primitive Equation; Vertical Diffusion;
D O I
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中图分类号
学科分类号
摘要
In this paper, we consider the initial-boundary value problem of the viscous 3D primitive equations for oceanic and atmospheric dynamics with only vertical diffusion in the temperature equation. Local and global well-posedness of strong solutions are established for this system with H2 initial data.
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页码:35 / 76
页数:41
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