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Convergence to the Stefan problem of the phase relaxation problem with Cattaneo heat flux law

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Journal of Evolution Equations Aims and scope Submit manuscript

Abstract.

In this paper we show that the solutions of the phase change problem with the Cattaneo-Fourier heat flux law and phase relaxation, converge to the solution of the Stefan problem as the two relaxation parameters go independently to zero.

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Authors and Affiliations

  1. Dipartimento di Matematica "F. Casorati", Università di Pavia, Via Ferrata 1, 27100 Pavia, Italy, e-mail: pier@dragon.ian.pv.cnr.it , , , , , , IT

    P. Colli

  2. Dipartimento di Matematica, Università di Trento, Via Sommarive 14, 38050 Povo (Trento) Italy, e-mail: recupero@science.unitn.it , , , , , , IT

    V. Recupero

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  1. P. Colli
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  2. V. Recupero
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Colli, P., Recupero, V. Convergence to the Stefan problem of the phase relaxation problem with Cattaneo heat flux law. J.evol.equ. 2, 177–195 (2002). https://doi.org/10.1007/s00028-002-8085-y

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  • DOI: https://doi.org/10.1007/s00028-002-8085-y

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