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.
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页码：634 / 649
页数：16
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