1. The dynamics of weakly interacting fronts in an adsorbate-induced phase transition model
- Creator:
- Ei, Shin-Ichiro and Tsujikawa, Tohru
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- reaction-diffusion system, iteraction of fronts, and phase transition model
- Language:
- English
- Description:
- 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 R2 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.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public