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Studying the interphase zone in a certain singular-limit problem

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Abstract

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].

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Authors and Affiliations

  1. All-Russian Institute for Scientific and Technical Information, Russian Academy of Sciences, Usievicha 20, Moscow, Russia

    N. Yu. Selivanova

  2. M. V. Lomonosov Moscow State University, Moscow, Russia

    M. V. Shamolin

Authors
  1. N. Yu. Selivanova
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  2. M. V. Shamolin
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Correspondence to N. Yu. Selivanova.

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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 78, Partial Differential Equations and Optimal Control, 2012.

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Selivanova, N.Y., Shamolin, M.V. Studying the interphase zone in a certain singular-limit problem. J Math Sci 189, 284–293 (2013). https://doi.org/10.1007/s10958-013-1185-0

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