The Stefan Problem

  • Augusto Visintin
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 28)


The Stefan model of phase transition in solid-liquid systems is introduced. This accounts for heat diffusion in each phase and exchange of latent heat at the solid-liquid interface. Its strong formulation is a free boundary problem, since the interface evolution is a priori unknown. Formulations in one and in several space dimensions are derived.


Variational Inequality Free Boundary Problem Stefan Problem Mushy Region Distribute Heat Source 
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Copyright information

© Birkhäuser Boston 1996

Authors and Affiliations

  • Augusto Visintin
    • 1
  1. 1.Dipartimento di MatematicaUniversità Degli Studi di TrentoPovoItaly

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