Mixed Control Problem for the Linearized Quasi-Stationary Phase Field System of Equations

Abstract:

Conditions are obtained for unique solution existence of a mixed control problem without taking in account control expenses for a system that described by an initial-boundary value problem for the linearized quasi-stationary system of phase field equations. The problem is reduced to an optimal control problem for operator differential equation of first order in abstract space with degenerate operator at derivative using start and distributed controls simultaneously. The theorem on the unique solvability of this problem is applied to studying of optimal control problem for the phase field equations system.

• Periodical: Materials Science Forum (Volume 845)
• Pages: 170-173
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.845.170
• Online since: March 2016
• Authors: Marina Plekhanova*
• Keywords: Initial-Boundary Valueproblem, Mixed Control, Optimal Control, Phase Field System of Equations

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