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arXiv · 1706.05531

Injection-suction control for Navier-Stokes equations with slippage

Nikolai V. Chemetov·Fernanda Cipriano
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Abstract

We consider a velocity tracking problem for the Navier-Stokes equations in a 2D-bounded domain. The control acts on the boundary through a 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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Nikolai V. Chemetov, Fernanda Cipriano. 2017-06-17. Injection-suction control for Navier-Stokes equations with slippage. https://arxiv.org/abs/1706.05531

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