Global existence of weak solution to a phase‐field model on martensitic phase transformations

DOI10.1002/mma.8708OpenAlexW4296250142MaRDI QIDQ6182933

Manman Yang, Fan Wu, Zixian Zhu

Publication date: 22 December 2023

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8708

zbMATH Keywords

weak solutionglobal existenceparabolic equationsphase-field modeldegeneratefixed-point method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Model quantum field theories (81T10) Analyticity in context of PDEs (35A20)

Cites Work

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• Interface motion by interface diffusion driven by bulk energy: justification of a diffusive interface model
• An analysis of a phase field model of a free boundary
• Geometric theory of semilinear parabolic equations
• Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility
• Analysis of weak solutions for the phase-field model for lithium-ion batteries
• Evolution of phase boundaries by configurational forces
• Solutions to a model for interface motion by interface diffusion
• A generalization of the Lions-Temam compact imbedding theorem
• Finite dimensional exponential attractor for the phase field model
• Weak solutions to a phase-field model with non-constant thermal conductivity
• Existence of solutions to a phase-field model for the isothermal solidification process of a binary alloy
• On the Allen—Cahn/Cahn—Hilliard system with a geometrically linear elastic energy
• Solutions to a Model with Nonuniformly Parabolic Terms for Phase Evolution Driven by Configurational Forces

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