Traveling waves to models of solid-solid phase transitions driven by configurational forces

DOI10.1002/gamm.201110022zbMath1243.35156OpenAlexW2006895132MaRDI QIDQ2890607

Peicheng Zhu

Publication date: 11 June 2012

Published in: GAMM-Mitteilungen (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11824/605

zbMATH Keywords

shape memory alloyselliptic-parabolic systemssinteringinterface diffusiontransition modelsAllen-Cahn/Cahn-Hilliard equations

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Traveling wave solutions (35C07) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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Viscosity solutions to a model for solid-solid phase transitions driven by material forces

Cites Work

• Traveling waves for models of phase transitions of solids driven by configurational forces
• Generation and propagation of interfaces for reaction-diffusion equations
• Evolution of phase boundaries by configurational forces
• Solutions to a model for interface motion by interface diffusion
• Solutions to a Model with Nonuniformly Parabolic Terms for Phase Evolution Driven by Configurational Forces