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Title: The dynamics of weakly interacting fronts in an adsorbate-induced phase transition model (English)
Author: Ei, Shin-Ichiro
Author: Tsujikawa, Tohru
Language: English
Journal: Kybernetika
ISSN: 0023-5954
Volume: 45
Issue: 4
Year: 2009
Pages: 625-633
Summary lang: English
Category: math
Summary: Hildebrand et al. (1999) proposed an adsorbate-induced phase transition model. For this model, Takei et al. (2005) found several stationary and evolutionary patterns by numerical simulations. Due to bistability of the system, there appears a phase separation phenomenon and an interface separating these phases. In this paper, we introduce the equation describing the motion of two interfaces in $\mathbb{R}^2$ and discuss an application. Moreover, we prove the existence of the traveling front solution which approximates the shape of the solution in the neighborhood of the interface. (English)
Keyword: reaction-diffusion system
Keyword: interaction of fronts
Keyword: phase transition model
MSC: 35B25
MSC: 35B40
MSC: 35K40
MSC: 35K57
MSC: 74A50
idZBL: Zbl 1193.35006
idMR: MR2588628
Date available: 2010-06-02T19:00:10Z
Last updated: 2013-09-21
Stable URL:
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Reference: [13] T. Tsujikawa and A. Yagi: Exponential attractor for an adsorbate-induced phase transition model.Kyushu J. Math. 56 (2002), 313–336. MR 1934129


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