数学物理学报(英文版)

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

王丽娟; 何培杰   

  1. 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   

  1. 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:

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:

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.

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

中图分类号: 

  • 49K20