## Abstract

A model for the evolution of phase boundaries reminiscent of the phase-field model is considered. The equation related to conservation of thermal energy is diffusive and coupled to an equation for the order parameter, which contains a nonlinear convolution operator, related to the limit of an interacting particle model with Kac-potential. Under diffusive rescaling the solutions converge to solutions of the Stefan problem with kinetic undercooling and surface tension.

Original language | English |
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Pages (from-to) | 1085-1113 |

Number of pages | 29 |

Journal | Journal of Statistical Physics |

Volume | 114 |

Issue number | 3-4 |

Publication status | Published - 2004 |