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

DOI10.1016/j.nonrwa.2017.05.003zbMath1462.74127OpenAlexW2733355609MaRDI QIDQ1680998

Peicheng Zhu, Wan-cheng Sheng

Publication date: 17 November 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.05.003

zbMATH Keywords

degenerate parabolic equationphase-field modelshape memory alloymartensitic phase transitionglobal viscosity solution existence

Mathematics Subject Classification ID

Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Crystals in solids (74N05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (6)

Global weak solutions to a phase-field model for motion of grain boundaries ⋮ Global solutions to a model with Dirichlet boundary conditions for interface motion by interface diffusion ⋮ Weak solutions to a model with elasticity energy for electrochemically induced phase transitions in lithium-ion batteries ⋮ New Phase-Field Models with Applications to Materials Genome Initiative ⋮ Viscosity solutions to a new phase-field model with Neumann boundary condition for solid-solid phase transitions ⋮ Global solutions to a phase-field model with logarithmic potential for lithium-ion batteries

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