Journal of Mathematical Sciences

, Volume 189, Issue 2, pp 301–310 | Cite as

Quasi-stationary stefan problem with values on the front depending on its geometry

  • N. Yu. Selivanova
  • M. V. Shamolin


The problem presented below is a singular-limit problem of the extension of the Cahn-Hilliard model obtained via introducing the asymmetry of the surface tension tensor under one of the truncations (approximations) of the inner energy [2, 5, 6, 7, 8, 10, 12, 13].


Free Boundary Problem Ellipticity Condition Phase Transition Zone Phase Transition Front Dynamic Critical Phenomenon 
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© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.All-Russian Institute for Scientific and Technical InformationRussian Academy of SciencesMoscowRussia
  2. 2.M. V. Lomonosov Moscow State UniversityMoscowRussia

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