Asymptotics of solutions to the optimal control problem for time-indepentent Navier-Stokes equations
The paper deals with an optimal boundary control problem for the Navier- Stokes equations describing a steady homogeneous inviscid incompressible flow. The total pressure on a portion \(\Gamma_1\) of the flow boundary is used as a control. The velocity components tangent to \(\Gamma_1\) are assumed to vanish on \(\Gamma_1\), and the o-slip condition is set on the remaining boundary. It is shown that the solution to this problem can be approximated by solutions to optimal control problems for the Stokes system.
scientific article; zbMATH DE number 1940631