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[en] We analyze a control problem for a phase field system modeling the solidification process of materials that allow two different types of crystallization coupled to a Navier–Stokes system and a nonlinear heat equation, with a reduced number of controls. We prove that this system is locally exactly controllable to suitable trajectories, with controls acting only on the motion and heat equations.
Journal
Applied Mathematics and Optimization; ISSN 0095-4616; 
; v. 78(2); p. 267-296
; v. 78(2); p. 267-296