TY - GEN A1 - Lefter, Catalin A1 - Sprekels, Jürgen T1 - Optimal boundary control of a phase field system modeling nonisothermal phase transitions N2 - In this paper, we study an optimal control problem for a singular system of partial differential equations that models a nonisothermal phase transition with a nonconserved order parameter. The control acts through a third boundary condition for the absolute temperature and plays the role of the outside temperature. It is shown that the corresponding control-to-state mapping is well defined, and the existence of an optimal control and the first-order optimality conditions for a quadratic cost functional of Bolza type are established. KW - Phase-field system KW - phase transition KW - optimal control KW - necessary conditions Y1 - 2006 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/367 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-3670 ER -