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A Quasi-Stationary Phase-Field Model with Micro-Movements

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Abstract

This note addresses the global strong solvability of a phase-field system arising in connection with the phase transition theory recently proposed by Frémond. The novelty of this modelization consists in considering the macroscopic effect of the microscopic movements of particles of the system that undergoes the phase transition. In particular, we outline the basic features of this model and deal with the upcoming nonlinear PDE system in the one-dimensional setting by means of an approximation—a priori estimates—passage to the limit procedure.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Pavia, via Ferrata 1, I-27100 Pavia, Italy

    Giulio Schimperna

  2. Istituto di Matematica Applicata e Tecnologie Informatiche – CNR, via Ferrata 1, I-27100 Pavia, Italy

    Ulisse Stefanelli

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  1. Giulio Schimperna
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  2. Ulisse Stefanelli
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Correspondence to Giulio Schimperna or Ulisse Stefanelli.

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Schimperna, G., Stefanelli, U. A Quasi-Stationary Phase-Field Model with Micro-Movements. Appl Math Optim 50, 67–86 (2004). https://doi.org/10.1007/s00245-004-0794-x

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  • DOI: https://doi.org/10.1007/s00245-004-0794-x

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