Global existence and large-time behavior for primitive equations with the free boundary

被引：1

作者：

Li, Hai-Liang ^{[1
,2
]}

Liang, Chuangchuang ^{[3
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[2] Capital Normal Univ, Acad Multidisciplinary Studies, Beijing 100048, Peoples R China

[3] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2024年 / 67卷 / 10期

基金：

中国国家自然科学基金;

关键词：

primitive equations; the free boundary value problem; global well-posedness; large-time behavior; NAVIER-STOKES EQUATIONS; VISCOUS SURFACE-WAVES; LARGE-SCALE OCEAN; WELL-POSEDNESS; HYDROSTATIC APPROXIMATION; RIGOROUS JUSTIFICATION; ATMOSPHERE; DECAY; BLOWUP; MOTION;

D O I：

10.1007/s11425-022-2191-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, the primitive equations, which can be used to simulate the large-scale motion of the ocean and atmosphere, are considered in the three-dimensional domain bounded below by a fixed solid boundary and above by a free-moving boundary. The global existence and uniqueness of strong solutions are established, and the long-time convergence to the equilibrium state is shown to be either at an exponential rate for the horizontal periodic domain or at an algebraic rate for the horizontal whole space.

引用

页码：2303 / 2330

页数：28

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