We prove the null controllability of the relaxed Stefan problem, which models phase transitions in two-phase systems. The technique relies on the penalty approximation of the differential inclusion describing the phase dynamics, solving a constrained minimization problem, and passing to the limit.
On the Null Controllability of the Heat Equation with Hysteresis in Phase Transition Modeling / Gavioli, C.; Krejci, P.. - 11:(2019), pp. 63-71. (Intervento presentato al convegno MURPHYS-HSFS 2018 tenutosi a CRM Centre de Recerca Matemàtica, Bellaterra (Barcelona) nel 28/05-01/06/2018) [10.1007/978-3-030-25261-8_10].
On the Null Controllability of the Heat Equation with Hysteresis in Phase Transition Modeling
Gavioli C.
;Krejci P.
2019
Abstract
We prove the null controllability of the relaxed Stefan problem, which models phase transitions in two-phase systems. The technique relies on the penalty approximation of the differential inclusion describing the phase dynamics, solving a constrained minimization problem, and passing to the limit.
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