Acta mathematica scientia,Series B

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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

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

CLC Number: 

  • 49K20
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