On a model of phase relaxation for the hyperbolic Stefan problem |
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Authors: | Vincenzo Recupero |
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Institution: | Dipartimento di Matematica, Università di Trento, Via Sommarive 14, 38050 Povo (Trento), Italy |
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Abstract: | In this paper we study a model of phase relaxation for the Stefan problem with the Cattaneo–Maxwell heat flux law. We prove an existence and uniqueness result for the resulting problem and we show that its solution converges to the solution of the Stefan problem as the two relaxation parameters go to zero, provided a relation between these parameters holds. |
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Keywords: | Stefan problem Phase relaxation Heat flux law Nonlinear PDEs |
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