Journal of Mathematical Sciences

, Volume 189, Issue 2, pp 284–293 | Cite as

Studying the interphase zone in a certain singular-limit problem

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


An important role in studying the classical Cahn–Hilliard problem [5] is played by its singular-limit problem, the so-called Melin–Sikerk free boundary problem, which, at present allows one to only numerically describe the instability of the crystallization process. The purpose of this work is to prepare the material for deducing the singular-limit problem for the essentially asymmetric model [8, 21].


Solvability Condition Free Boundary Problem Stefan Problem Young Measure Asymmetric Model 
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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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