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| SECOND-ORDER OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY 3-DIMENSIONAL NEVIER-STOKES EQUATIONS | |
| 引用本文： | 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(B辑英文版), 2006, 26(4): 729-734. DOI: 10.1016/S0252-9602(06)60099-4 |
| 作者姓名： | 王丽娟 何培杰 |
| 作者单位： | Department of Mathematics Wuhan University Wuhan 430072，China，School of Power and Mechanical Engineering Wuhan University，Wuhan 430072，China |
| 基金项目： | This work was supported by National Natural Science Foundation of China (10401041)，Natural Science Foundation of Hubei Province (2004ABA009) |
| 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： | 充分最优条件 最优控制 Navier-Stokes方程 周期态约束 |
| 收稿时间： | 2004-12-25 |
| 修稿时间： | 2005-06-26 |
SECOND-ORDER OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY 3-DIMENSIONAL NEVIER-STOKES EQUATIONS |
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| Lijuan Wang,Peijie He. SECOND-ORDER OPTIMALITY CONDITIONS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY 3-DIMENSIONAL NEVIER-STOKES EQUATIONS[J]. Acta Mathematica Scientia, 2006, 26(4): 729-734. DOI: 10.1016/S0252-9602(06)60099-4 | |
| Authors: | Lijuan Wang Peijie He |
| Affiliation: | aDepartment of Mathematics, Wuhan University, Wuhan 430072, China bSchool of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, China |
| Abstract: | 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. |
| Keywords: | Necessary and sufficient optimality conditions optimal control Navier-Stokes equation periodic state constraint |
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