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Article Dans Une Revue Asymptotic Analysis Année : 2022

Asymptotic analysis of an optimal control problem for a viscous incompressible fluid with Navier slip boundary conditions

Résumé

We consider an optimal control problem for the Navier–Stokes system with Navier slip boundary conditions. We denote by $\alpha$ the friction coefficient and we analyze the asymptotic behavior of such a problem as $\alpha\to\infty$. More precisely, we prove that if we take an optimal control for each $\alpha$, then there exists a sequence of optimal controls converging to an optimal control of the same optimal control problem for the Navier–Stokes system with the Dirichlet boundary condition. We also show the convergence of the corresponding direct and adjoint states.
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Dates et versions

hal-03930522 , version 1 (09-01-2023)

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Citer

Claudia Gariboldi, Takéo Takahashi. Asymptotic analysis of an optimal control problem for a viscous incompressible fluid with Navier slip boundary conditions. Asymptotic Analysis, 2022, 126 (3-4), pp.379-399. ⟨10.3233/ASY-211685⟩. ⟨hal-03930522⟩
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