2015/11/02 by Nadir Arada, Arada, Nadir, Fernanda Cipriano +1 · 2 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Lattice Boltzmann Simulation Studies #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations #math.OC
paper · pdf · doi:10.48550/arxiv.1511.00681
arXiv admin note: substantial text overlap with arXiv:1511.00432
arxiv created 2015/11/02 · openalex publication_date 2015/11/02 · arxiv updated 2016/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we first investigate necessary optimality conditions for problems governed by systems describing the flow of an incompressible second grade fluid. Next, we study the asymptotic behavior of the optimal solution when the viscoelastic parameter tends to zero, and prove that the corresponding sequence converges to a solution of an optimal control problem governed by the Navier-Stokes equations whose optimality conditions are recovered by passage to the limit.