Boundary Velocity Control of Incompressible Flow with an Application to Viscous Drag Reduction
- 1 January 1992
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control and Optimization
- Vol. 30 (1), 167-181
- https://doi.org/10.1137/0330011
Abstract
An optimal boundary control problem for the Navier-Stokes equations is presented. The control is the velocity on the boundary, which is constrained to lie in a closed, convex subset of H1/2 of the boundary. A necessary condition for optimality is derived. Computations are done when the control set is actually finite-dimensional, resulting in an application to viscous drag reduction.Keywords
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