Global weak solutions to the 1D phase-field model with inhomogeneous elasticity

DOI10.1016/j.apm.2021.12.010zbMath1505.74172OpenAlexW4200283732MaRDI QIDQ2109834

Lixian Zhao, Hang Cheng

Publication date: 21 December 2022

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2021.12.010

zbMATH Keywords

existenceweak solutionselliptic-parabolic systemphase-field simulations

Mathematics Subject Classification ID

Transformations involving diffusion in solids (74N25) PDEs in connection with statistical mechanics (35Q82)

Cites Work

• Solutions to a model with Neumann boundary conditions for phase transitions driven by configurational forces
• On stationary incompressible Norton fluids and some extensions of Korn's inequality
• Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
• 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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