Articles

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

  • Wang Lijuan ,
  • He Peijie
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  • Department of Mathematics, Wuhan University, Wuhan 430072, China

Received date: 2004-12-25

  Revised date: 2005-06-26

  Online published: 2006-10-20

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(06)60099-4

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