Well-posedness for an extended Penrose-Fife phase-field model with energy balance supplied by Dirichlet boundary conditions

DOI10.1016/j.nonrwa.2006.11.005zbMath1145.35413OpenAlexW1981787289MaRDI QIDQ924589

Akio Ito, Masahiro Kubo

Publication date: 16 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.11.005

zbMATH Keywords

well-posednessGinzburg-Landau equationparabolic variational inequalitynon-equilibrium thermodynamicsdependence on datanon-homogeneous Dirichlet boundary problemnonlinear heat fluxphase transition model of Penrose-Fife type

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (1)

A non-isothermal phase separation with constraints and Dirichlet boundary condition for temperature

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear degenerate parabolic equations with Neumann boundary condition
• On a Penrose-Fife phase-field model with nonhomogeneous Neumann boundary conditions for the temperature.
• Periodic and almost periodic stability of solutions to degenerate parabolic equations
• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• Well-posedness of initial boundary value problem of degenerate parabolic equations
• An analysis of a phase field model of a free boundary
• Gobal existence for a thermodynamically consistent model of phase field type
• Weak solutions to the Penrose-Fife phase field model for a class of admissible heat flux laws
• Non-isothermal phase transition models with Neumann boundary conditions.
• Evolution equations generated by subdifferentials in the dual space of \((H^1(\Omega))\)
• Hysteresis and phase transitions
• Well-posedness and asymptotic analysis for a Penrose–Fife type phase field system
• Evolution systems of nonlinear variational inequalities arising from phase change problems
• Asymptotics for a parabolic double obstacle problem
• On a Penrose-Fife type system with Dirichlet boundary conditions for temperature

This page was built for publication: Well-posedness for an extended Penrose-Fife phase-field model with energy balance supplied by Dirichlet boundary conditions