EXISTENCE AND UNIQUENESS OF STRONG PERIODIC SOLUTIONS OF THE PRIMITIVE EQUATIONS OF THE OCEAN

被引：6

作者：

Medjo, Theodore Tachim ^{[1
]}

机构：

[1] Florida Int Univ, Dept Math, Miami, FL 33199 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 26卷 / 04期

关键词：

primitive equations; periodic solutions; approximate solutions; strong solutions; LARGE-SCALE OCEAN;

D O I：

10.3934/dcds.2010.26.1491

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the existence and uniqueness of the global and periodic strong solutions of the primitive equations of the ocean. We prove that there exists a unique periodic strong solution provided that the heat source is regular and small enough. The proof of the existence is based on approximate solutions and a fixed point argument. We also derive some a priori estimates on the strong solutions.

引用

页码：1491 / 1508

页数：18

共 23 条

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Bellido MAR., 2001, DIFFERENTIAL INTEGRA, V14, P1381

[2] Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics [J].