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

Shuichi Kawashima, Peicheng Zhu

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)309-323
Number of pages15
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume15
Issue number1
DOIs
Publication statusPublished - 2011 Jan 1
Externally publishedYes

Keywords

  • Configurational forces
  • Models
  • Phase transitions
  • Traveling waves

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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