The conserved Penrose--Fife system with Fourier heat flux law.

DOI10.1016/S0362-546X(03)00045-2zbMath1036.35076OpenAlexW2125751133MaRDI QIDQ1395845

Elisabetta Rocca, Giulio Schimperna

Publication date: 1 July 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(03)00045-2

zbMATH Keywords

compactness methodCahn-Hilliard equationhomogeneous Neumann boundary conditions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) A priori estimates in context of PDEs (35B45)

Related Items (2)

On a conserved Penrose-Fife type system. ⋮ The conserved Penrose-Fife system with temperature-dependent memory.

Cites Work

• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• Weak solutions to a Penrose-Fife model with Fourier law for the temperature
• 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
• Nonlinear system for non-isothermal diffusive phase separation
• Weak solutions to the Penrose-Fife phase field model for a class of admissible heat flux laws
• The conserved Penrose-Fife phase field model with special heat flux laws and memory effects
• Viscosity approach to modelling non-isothermal diffusive phase separation
• Stefan Problem with Phase Relaxation
• The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part I: Mathematical analysis
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
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