Homogenization of a Doubly Nonlinear Stefan-Type Problem

@article{Visintin2007HomogenizationOA,
  title={Homogenization of a Doubly Nonlinear Stefan-Type Problem},
  author={Augusto Visintin},
  journal={SIAM J. Math. Analysis},
  year={2007},
  volume={39},
  pages={987-1017}
}
Temperature and phase evolution in phase transitions are represented here by coupling the energy balance equation with a multivalued constitutive relation between the density of internal energy and the temperature, and with a nonlinear conduction law. This doubly nonlinear problem generalizes the classical Stefan model. Existence of a weak solution is proved via time discretization, a priori estimates, and passage to the limit. A medium exhibiting periodic oscillations in space is then… CONTINUE READING

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