A NOTE ON OPTIMAL CONTROL PROBLEM FOR A HEMIVARIATIONAL INEQUALITY MODELING FLUID FLOW

作者：Migorski Stanislaw^*

来源：Discrete and Continuous Dynamical Systems, 2013, 545-554.

• Optimal control
• Navier-Stokes equation
• hemivariational inequality
• Clarke subdifferential
• pseudomonotone
• nonconvex
• operator inclusion
• weak solution

We consider a class of distributed parameter optimal control problems for the boundary value problem for the stationary Navier Stokes equation with a subdifferential boundary condition in a bounded domain. The weak formulation of the boundary value problem is a hemivariational inequality associated with a nonconvex nonsmooth locally Lipschitz superpotential. We establish the existence of solutions to the optimal control problem. We also address an open problem of potential identification in the hemivariational inequality.

• 出版日期2013-11