2019/10/25 by Claudia M. Gariboldi, Claudia Gariboldi, Gariboldi, Claudia +2
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations #math.AP
paper · pdf · doi:10.48550/arxiv.1910.11699
arxiv created 2019/10/25 · openalex publication_date 2019/10/25 · arxiv updated 2019/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider an optimal control problem for the Navier-Stokes system with Navier slip boundary conditions. We denote by α the friction coefficient and we analyze the asymptotic behavior of such a problem as α→ ∞. More precisely, we prove that if we take an optimal control for each α, 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.