Traveling waves for models of phase transitions of solids driven by configurational forces

Shuichi Kawashima*, Peicheng Zhu

*この研究の対応する著者

研究成果: Article査読

12 被引用数 (Scopus)

抄録

This article is concerned with the existence of traveling wave solutions, including standing waves, to some models based on configurational forces, describing respectively the diffusionless phase transitions of solid materials, e.g., Steel, and phase transitions due to interface motion by interface diffusion, e.g., Sintering. These models were proposed by Alber and Zhu in [3]. We consider both the order-parameter-conserved case and the non-conserved one, under suitable assumptions. Also we compare our results with the corresponding ones for the Allen-Cahn and the Cahn-Hilliard equations coupled with linear elasticity, which are models for diffusion-dominated phase transitions in elastic solids.

本文言語English
ページ(範囲)309-323
ページ数15
ジャーナルDiscrete and Continuous Dynamical Systems - Series B
15
1
DOI
出版ステータスPublished - 2011 1
外部発表はい

ASJC Scopus subject areas

  • 離散数学と組合せ数学
  • 応用数学

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