Existence of Optimal Control for a Nonlinear-Viscous Fluid Model

الملخص EN

We consider the optimal control problem for a mathematical model describing steady flows of a nonlinear-viscous incompressible fluid in a bounded three-dimensional (or a two-dimensional) domain with impermeable solid walls.

The control parameter is the surface force at a given part of the flow domain boundary.

For a given bounded set of admissible controls, we construct generalized (weak) solutions that minimize a given cost functional.