Solvability and asymptotic analysis of a generalization of the Caginalp phase field system

@article{Canevari2011SolvabilityAA,
  title={Solvability and asymptotic analysis of a generalization of the Caginalp phase field system},
  author={Giacomo Canevari and Pierluigi Colli},
  journal={arXiv: Analysis of PDEs},
  year={2011}
}
We study a diffusion model of phase field type, which consists of a system of two partial differential equations involving as variables the thermal displacement, that is basically the time integration of temperature, and the order parameter. Our analysis covers the case of a non-smooth (maximal monotone) graph along with a smooth anti-monotone function in the phase equation. Thus, the system turns out a generalization of the well-known Caginalp phase field model for phase transitions when… 

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