Solutions to a Penrose-Fife model of phase-field type

DOI10.1006/jmaa.1994.1247zbMath0819.35159OpenAlexW2040188286MaRDI QIDQ1336146

Philippe Laurençot

Publication date: 24 August 1995

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1994.1247

zbMATH Keywords

existencemodel of phase-field type for the kinetics of phase transitionsmodel with constraint

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Reaction-diffusion equations (35K57) Stefan problems, phase changes, etc. (80A22)

Related Items (23)

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. ⋮ On a Penrose-Fife model with zero interfacial energy leading to a phase-field system of relaxed Stefan type ⋮ GLOBAL AND EXPONENTIAL ATTRACTORS FOR THE PENROSE–FIFE SYSTEM ⋮ Further regularity and uniqueness results for a non-isothermal Cahn-Hilliard equation ⋮ Weak solutions to the Penrose-Fife phase field model for a class of admissible heat flux laws ⋮ 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 ⋮ ON PHASE–FIELD EQUATIONS OF PENROSE–FIFE TYPE WITH THE NON–CONSERVED ORDER PARAMETER UNDER FLUX BOUNDARY CONDITION. I: GLOBAL–IN–TIME SOLVABILITY ⋮ The conserved Penrose-Fife system with temperature-dependent memory. ⋮ 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 ⋮ The Penrose-Fife phase-field model ⋮ Hysteresis operators in phase-field models of Penrose-fife type ⋮ Asymptotic behavior of the solution to the non-isothermal phase field equation ⋮ Regularity and long-time behavior for a thermodynamically consistent model for complex fluids in two space dimensions ⋮ Sharp interface control in a Penrose−Fife model ⋮ Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility ⋮ Weak solutions to a Penrose-Fife model with Fourier law for the temperature ⋮ Unnamed Item ⋮ Periodic solutions for phase transition models

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