SECOND-ORDER OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY 3-DIMENSIONAL NEVIER--STOKES EQUATIONS

doi:10.1016/S0252-9602(06)60099-4

数学物理学报(英文版)

SECOND-ORDER OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY 3-DIMENSIONAL NEVIER--STOKES EQUATIONS

王丽娟; 何培杰

武汉大学数学与统计学院, 武汉 430072

收稿日期:2004-12-25 修回日期:2005-06-26 出版日期:2006-10-20 发布日期:2006-10-20
通讯作者: 王丽娟
基金资助:
This work was supported by National Natural Science Foundation of China (10401041) and Natural Science Foundation of Hubei Province (2004ABA009)

SECOND-ORDER OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY 3-DIMENSIONAL NEVIER--STOKES EQUATIONS

Wang Lijuan; He Peijie

Department of Mathematics, Wuhan University, Wuhan 430072, China

Received:2004-12-25 Revised:2005-06-26 Online:2006-10-20 Published:2006-10-20

摘要/Abstract

摘要：

This article is concerned with second-order necessary and sufficient optimality conditions for optimal control problems governed by 3-dimensional Navier--Stokes equations. The periodic state constraint is considered.

关键词: Necessary and sufficient optimality conditions, optimal control, Navier--Stokes equation, periodic state constraint

Abstract:

Key words: Necessary and sufficient optimality conditions, optimal control, Navier--Stokes equation, periodic state constraint

中图分类号:

49K20

王丽娟; 何培杰. SECOND-ORDER OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY 3-DIMENSIONAL NEVIER--STOKES EQUATIONS[J]. 数学物理学报(英文版), 2006, 26(4): 729-734.

Wang Lijuan; He Peijie. SECOND-ORDER OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY 3-DIMENSIONAL NEVIER--STOKES EQUATIONS[J]. Acta mathematica scientia,Series B, 2006, 26(4): 729-734.

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SECOND-ORDER OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY 3-DIMENSIONAL NEVIER--STOKES EQUATIONS

SECOND-ORDER OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY 3-DIMENSIONAL NEVIER--STOKES EQUATIONS

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