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

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.

arXiv admin note: substantial text overlap with arXiv:1511.00681

References in corpus (1)

• On the convergence rate of the Euler-$\alpha$, an inviscid second-grade complex fluid, model to the Euler equations

Cited by in corpus (1)

• Optimal control for two-dimensional stochastic second grade fluids