Mathematical modeling of phase transition and separation in fluids: a unified approach

DOI10.3934/dcdsb.2014.19.1889zbMath1305.82023OpenAlexW2324317011MaRDI QIDQ478681

Claudio Giorgi, Angelo Morro, Alessia Berti

Publication date: 4 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2014.19.1889

zbMATH Keywords

phase transitionCahn-Hilliard equationphase separationGinzburg-Landau equationcontinuum thermodynamicsphase-field theories

Mathematics Subject Classification ID

Structured surfaces and interfaces, coexistent phases (74A50) Thermodynamics in solid mechanics (74A15) Stefan problems, phase changes, etc. (80A22) Thermodynamics of continua (80A17) Phase transitions (general) in equilibrium statistical mechanics (82B26) Compressible fluids and gas dynamics (76N99) Liquid-gas two-phase flows, bubbly flows (76T10) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (2)

A phase-field model for quasi-incompressible solid-liquid transitions ⋮ Singular kernel problems in materials with memory

Cites Work

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• A phase-field model for quasi-incompressible solid-liquid transitions
• A thermodynamic approach to ferromagnetism and phase transitions
• Continuum thermodynamics and phase-field models
• Isotropic-nematic phase transitions in liquid crystals
• Phase field approach to multiphase flow modeling
• A phase-field model for liquid-vapor transitions
• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• A phase-field approach to non-isothermal transitions
• The thermodynamics of elastic materials with heat conduction and viscosity
• On the relation between the standard phase-field model and a ``thermodynamically consistent phase-field model
• Thermodynamics with internal variables. I: General concepts. II: Applications
• Hysteresis and phase transitions
• Phase separation in quasi-incompressible Cahn-Hilliard fluids
• Free energies and pseudo-elastic transitions for shape memory alloys
• Well-posedness for solid-liquid phase transitions with a fourth-order nonlinearity
• A thermodynamic approach to non-isothermal phase-field evolution in continuum physics
• A phase transition model with the entropy balance
• Quantitative phase-field modeling of dendritic growth in two and three dimensions
• Weakly nonlocal irreversible thermodynamics
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• ON A GLOBAL ENTROPY PRODUCTION INEQUALITY
• Thermodynamics

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