Maximum Principle of Optimal Control of the Primitive Equations of the Ocean With State Constraint

被引:3
作者
Medjo, T. Tachim [1 ]
机构
[1] Florida Int Univ, Dept Math, Miami, FL 33199 USA
关键词
Maximum principle; Primitive equations; State-constrained;
D O I
10.1080/01630560802580463
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate in this paper 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 and Wang (Nonlinear Analysis 2003; 52:1911-1931) for the three-dimensional Navier-Stokes (NS) equations. The main difference between this work and Wang and Wang (Nonlinear Analysis 2003; 52:1911-1931) is that the nonlinearity in the PEs is stronger than in the three-dimensional NS systems.
引用
收藏
页码:1299 / 1327
页数:29
相关论文
共 38 条
[1]  
Abergel F., 1990, THEOR COMP FLUID DYN, V1, P303, DOI [DOI 10.1007/BF00271794, 10.1007/bf00271794]
[2]   A control method for assimilation of surface data in a linearized Navier-Stokes-type problem related to oceanography [J].
Belmiloudi, A ;
Brossier, F .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1997, 35 (06) :2183-2197
[3]  
Bennett A., 1994, INVERSE METHODS PHYS
[4]   Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics [J].
Cao, Chongsheng ;
Titi, Edriss S. .
ANNALS OF MATHEMATICS, 2007, 166 (01) :245-267
[5]  
Foias C., 2001, NAVIER STOKES EQUATI, DOI DOI 10.1090/CHEL/343
[6]  
Haltiner G. J., 1980, NUMERICAL PREDICTION
[7]  
HU C, 2002, ANN MATH SER B, V23, P1
[8]   Asymptotic analysis of the primitive equations under the small depth assumption [J].
Hu, CB .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (03) :425-460
[9]  
Hu CB, 2003, DISCRETE CONT DYN-A, V9, P97
[10]  
JU N, 1917, DISCRETE CONTIN DYN, V17, P159