Optimal control of non-stationary second grade fluids with Navier-slip boundary conditions

2015/11/02 by Nadir Arada, Arada, Nadir, Fernanda Cipriano +1 · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations #math.OC

paper · pdf · doi:10.48550/arxiv.1511.01134

arXiv admin note: substantial text overlap with arXiv:1511.00681

arxiv created 2015/11/02 · openalex publication_date 2015/11/02 · arxiv updated 2015/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider optimal control problems governed by systems describing the unsteady flows of an incompressible second grade fluid with Navier-slip boundary conditions. We prove the existence of an optimal solution and derive the corresponding necessary optimality conditions.

Citations

• Optimal control of steady second grade fluids with a Navier-slip boundary condition

Cited by

• Optimal control for two-dimensional stochastic second grade fluids

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