Solutions to a phase‐field model for martensitic phase transformations driven by configurational forces

DOI10.1111/sapm.12365zbMath1472.35376OpenAlexW3121424199MaRDI QIDQ4995597

Xingzhi Bian, Lixian Zhao, Fan Wu

Publication date: 25 June 2021

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12365

zbMATH Keywords

Galerkin methodweak solutionsphase-field modelelliptic-parabolic system

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Crystals in solids (74N05) PDEs in connection with mechanics of deformable solids (35Q74) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

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