Some Aspects of Approximation of Optimal Control Problems for Systems Governed by Parabolic Problems Involving Free Boundaries

The contribution is devoted to multi-dimensional two-phase problems of Stefan type involving some degenerations, and to related problems of optimal control. A problem with non-negative “specific heat” coefficient is considered. The existence of a weak solution to this problem is shown, uniqueness and stability results are presented. For a class of related typical optimal control problems results concerning existence of optimal controls are given. Approximations to these problems, based on regularization of the enthalpy, are introduced(the auxiliary nonlinear boundary value problems involve no more free boundary). Results on the convergence of optimal controls are presented. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.