Boundary controllability of a one-dimensional phase-field system with one control force. (English) Zbl 1441.35032
The authors present some controllability results for linear and nonlinear phase-field systems of Caginalp type considered in a bounded interval, when the scalar control force acts on the temperature equation of the system by means of the Dirichlet condition on one of the endpoints of the interval. In order to prove the linear result they use the moment method providing an estimate of the cost of fast controls.
Reviewer: Kaïs Ammari (Monastir)
MSC:
| 35B30 | Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs |
| 35K51 | Initial-boundary value problems for second-order parabolic systems |
| 93B05 | Controllability |
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