Free Boundary optimal control in the multidimensional Stefan Problem Academic Article uri icon

abstract

  • The multidimensional two-phase Stefan problem, in general, may have a nonsmooth ice- water interface, the free boundary (FB), which location and shape are very important in applications and may be subjected to an external control. By exploiting the continuous dependence results and the estimates on the enthalpy in BV-spaces, in this note we establish the existence of an optimal control for a new cost functional that allows the observation of the free boundary by looking at the liquid phase in terms of Caccioppoli …

publication date

  • April 4, 1995