On a shape control problem for the stationary Navier-Stokes equations
Department of Mathematics, Iowa State University, Ames IA,
50011-2064, USA. (firstname.lastname@example.org)
Supported in part by the Air Force
Office of Scientific Research under grant number F49620-95-1-0407.
2 Department of Mathematics, Kangnŭng National University, Kangnŭng 210-702, Korea. (email@example.com)
3 Department of Mathematics, Kaiserslautern University, Kaiserslautern, 67663, Germany. Current address: LIN, DIENCA, University of Bologna, Via dei colli 16, 40136 Bologna, Italy. (firstname.lastname@example.org) Supported by the European community under grant XCT-97-0117.
Revised: 23 September 2000
An optimal shape control problem for the stationary Navier-Stokes system is considered. An incompressible, viscous flow in a two-dimensional channel is studied to determine the shape of part of the boundary that minimizes the viscous drag. The adjoint method and the Lagrangian multiplier method are used to derive the optimality system for the shape gradient of the design functional.
Mathematics Subject Classification: 49K40 / 76D05
Key words: Shape control / optimal design / Navier-Stokes equations / drag minimization.
© EDP Sciences, SMAI, 2000