Optimal control of the primitive equations of the ocean with state constraints

被引：11

作者：

Medjo, T. Tachim ^{[1
]}

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 03期

关键词：

Primitive equations; Maximum principle; State-constrained; GLOBAL WELL-POSEDNESS; LARGE-SCALE OCEAN; MAXIMUM PRINCIPLE; ATTRACTOR;

D O I：

10.1016/j.na.2010.03.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate in this article Pontryagin's maximum principle for a class of control problems associated with the primitive equations (PEs) of the ocean. These optimal problems involve a state constraint similar to that considered in Wang (2002) [7] for the three-dimensional Navier-Stokes (NS) equations. The main difference between this work and Wang (2002) [7] is that the nonlinearity in the PEs is stronger than in the three-dimensional NS systems. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：634 / 649

页数：16

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