Injection-suction control for two-dimensional Navier-Stokes equations with slippage

Citation:
Chemetov, Nikolai, and Fernanda Cipriano. "Injection-suction control for two-dimensional Navier-Stokes equations with slippage." SIAM JOURNAL ON CONTROL AND OPTIMIZATION. 56 (2018): 1253-1281.

Abstract:

{We consider a velocity tracking problem for the Navier-Stokes equations in a 2D bounded domain. The control acts on the boundary through an injection-suction device, and the flow is allowed to slip against the surface wall. We study the well-posedness of the state equations, linearized state equations, and adjoint equations. In addition, we show the existence of an optimal solution and establish the first order optimality condition.}

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