Optimization of Steady Flows for Incompressible Viscous Fluids

Josef Málek and Tomášč Roubiček

A chapter in Applied Nonlinear Analysis, 2002, pp 355-372 from Springer

Abstract: Abstract An optimal-control problem for the stationary Navier-Stokes system are investigated. The maximum principle is derived by a suitable relaxation. Its sufficiency is shown provided data involved in the control problem are small enough (depending on the Reynolds number). Regularity of the Navier-Stokes system and its adjoint problem is used.

Keywords: Navier-Stokes equations; regularity; optimal control; existence; relaxation; maximum principle; sufficiency (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-306-47096-7_24

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DOI: 10.1007/0-306-47096-9_24

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