Weak solutions and simulations to a new phase-field model with periodic boundary

DOI10.1080/00036811.2020.1742883zbMath1484.35271OpenAlexW3010928713MaRDI QIDQ5862283

Jiawei Mai, Fang Cheng, Lixian Zhao

Publication date: 7 March 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1742883

zbMATH Keywords

Galerkin methodweak solutionslarge-time behaviorphase-field simulations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Dynamics of phase boundaries in solids (74N20) Degenerate parabolic equations (35K65) Quasilinear parabolic equations (35K59)

Related Items (1)

Global weak solutions to a phase-field model for motion of grain boundaries

Cites Work

• Comparison of a rapidely converging phase field model for interfaces in solids with the Allen-Cahn model
• Solutions to a model with Neumann boundary conditions for phase transitions driven by configurational forces
• Existence and global stability of traveling curved fronts in the Allen-Cahn equations
• Solvability via viscosity solutions for a model of phase transitions driven by configurational forces
• Evolving microstructure and homogenization
• Evolution of phase boundaries by configurational forces
• Solutions to a model for interface motion by interface diffusion
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• Solutions to a Model with Nonuniformly Parabolic Terms for Phase Evolution Driven by Configurational Forces

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