Two-scale model of phase transitions

DOI10.1016/S0167-2789(97)89485-7zbMath0935.80005MaRDI QIDQ1963292

Augusto Visintin

Publication date: 24 January 2000

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

zbMATH Keywords

surface tensionStefan problemnucleationlength scaleGibbs-Thomson law

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22)

Related Items (3)

Stochastic doubly nonlinear PDE: large deviation principles and existence of invariant measure ⋮ On a doubly nonlinear PDE with stochastic perturbation ⋮ Stochastic optimal control of a doubly nonlinear PDE driven by multiplicative Lévy noise

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• An analysis of a phase field model of a free boundary
• Local existence and uniqueness of solutions of the Stefan problem with surface tension and kinetic undercooling
• On the relation between the standard phase-field model and a ``thermodynamically consistent phase-field model
• Mathematical existence of crystal growth with Gibbs-Thomson curvature effects
• Convergence of the phase-field equations to the Mullins-Sekerka problem with kinetic undercooling
• Models of phase transitions
• Solutions for the two-phase Stefan problem with the Gibbs–Thomson Law for the melting temperature
• On the correctness of a phenomenological model of equilibrium phase transitions in a deformable elastic medium
• Some remarks on the Stefan problem with surface structure
• Thermodynamics and the supercritical Stefan equations with nucleations

This page was built for publication: Two-scale model of phase transitions