The Stefan-Gibbs-Thomson Problem with Nucleation

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


Phase transitions are studied at a mesoscopic length scale, distinguishing front motion from nucleation and other discontinuous transitions. A generalization of the Stefan model, which accounts for both modes of phase transition, is formulated in the framework of Sobolev spaces. Surface tension effects are represented by the Gibbs-Thomson law.


Variational Inequality Front Motion Internal Energy Density Weakly Star Stefan Condition 
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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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