Weak solutions to the Penrose-Fife phase field model for a class of admissible heat flux laws

DOI10.1016/S0167-2789(97)80018-8zbMath0929.35062MaRDI QIDQ1376449

Philippe Laurençot, Pierluigi Colli

Publication date: 17 December 1997

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

initial-boundary value problemexistence of weak solutionsorder parameterdiffusive phase transitionszero interfacial energy

Mathematics Subject Classification ID

Related Items (26)

Global existence of strong solutions to the one-dimensional full model for phase transitions in thermoviscoelastic materials. ⋮ Universal attractor for some singular phase transition systems ⋮ Well-posedness and regularity for a parabolic-hyperbolic Penrose-Fife phase field system. ⋮ On a conserved Penrose-Fife type system. ⋮ GLOBAL AND EXPONENTIAL ATTRACTORS FOR THE PENROSE–FIFE SYSTEM ⋮ Weak solution to some Penrose-Fife phase-field systems with temperature-dependent memory ⋮ The conserved Penrose--Fife system with Fourier heat flux law. ⋮ Asymptotic uniform boundedness of energy solutions to the Penrose-Fife model ⋮ Global weak solutions to an initial-boundary value problem for a three-phase field model of solidification ⋮ ON PHASE–FIELD EQUATIONS OF PENROSE–FIFE TYPE WITH THE NON–CONSERVED ORDER PARAMETER UNDER FLUX BOUNDARY CONDITION. I: GLOBAL–IN–TIME SOLVABILITY ⋮ Global existence for a singular phase field system related to a sliding mode control problem ⋮ The conserved Penrose-Fife system with temperature-dependent memory. ⋮ Well-posedness and longtime behavior for a singular phase field system with perturbed phase dynamics ⋮ On a non-isothermal Cahn-Hilliard model based on a microforce balance ⋮ The conserved Penrose-Fife phase field model with special heat flux laws and memory effects ⋮ Well-posedness for an extended Penrose-Fife phase-field model with energy balance supplied by Dirichlet boundary conditions ⋮ The Penrose-Fife phase-field model ⋮ Nonisothermal nematic liquid crystal flows with the Ball-Majumdar free energy ⋮ Analysis of a nonlinear degenerating PDE system for phase transitions in thermoviscoelastic materials ⋮ On a nonlocal phase-field system ⋮ Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems ⋮ Sharp interface control in a Penrose−Fife model ⋮ On a singular heat equation with dynamic boundary conditions ⋮ Existence and boundedness of solutions for a singular phase field system ⋮ Analysis of a system related to a model for phase transitions in dissipative isochoric thermoviscoelastic materials ⋮ Solvability for the non-isothermal Kobayashi-Warren-Carter system

Cites Work

• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• Gobal existence for a thermodynamically consistent model of phase field type
• Global smooth solutions to a thermodynamically consistent model of phase- field type in higher space dimensions
• On the relation between the standard phase-field model and a ``thermodynamically consistent phase-field model
• Solutions to a Penrose-Fife model of phase-field type
• Semi-linear second-order elliptic equations in \(L^1\)
• On a Penrose-Fife model with zero interfacial energy leading to a phase-field system of relaxed Stefan type
• Equivalent Norms for Sobolev Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Weak solutions to the Penrose-Fife phase field model for a class of admissible heat flux laws