Unified Approach to Evolution Equations for Non-isothermal Phase Transitions (original) (raw)
Related papers
Non-isothermal phase-field models and evolution equation
Archives of Mechanics, 2006
A system of evolution equations for non-isothermal phase transitions
Journal of Evolution Equations, 2010
A dynamical system approach to a phase transition problem
Journal of Differential Equations, 1991
A thermodynamic approach to non-isothermal phase-field evolution in continuum physics
Physica D: Nonlinear Phenomena, 2006
Nonlinear Systems Describing Phase Transition Models Compatible with Thermodynamics
Mathematical Models and Methods in Applied Sciences, 1999
Materials Theory, 2017
Interfaces and Free Boundaries, 2000
Alain Miranville, Costica Morosanu
Rapid phase transformation under local non-equilibrium diffusion conditions
On a phase field model for solid-liquid phase transitions
Discrete and Continuous Dynamical Systems, 2012
Journal of Non-Equilibrium Thermodynamics, 2016
Unification of the standard and gradient theories of phase transition
A phase transition model with the entropy balance
A review on computational modelling of phase-transition problems
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2019
Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
Physica D, 1990
Thermodynamically consistent models of phase-field type for kinetics of phase transitions
Ispd, 1990
A Model for the Transition Between Incompressible Phases
2011
A continuum theory for first-order phase transitions based on the balance of structure order
Mathematical Methods in the Applied Sciences, 2008
Journal of Differential Equations, 2008
Thermodynamically consistent models of phase-field type for the kinetic of phase transitions
Physica D: Nonlinear Phenomena, 1990
Mathematical modelling of phase transitions
On thermodynamics of some phase change models
Rendiconti del Seminario Matematico e Fisico di Milano, 1996
Mathematical Models and Numerical Solutions of Liquid-Solid and Solid-Liquid Phase Change
Journal of Thermal Engineering, 2015
An integrodifferential model for phase transitions: stationary solutions in higher dimensions
2008
Diffuse-interface model for rapid phase transformations in nonequilibrium systems
Physical Review E, 2005
Nonlocality and thermodynamic restrictions in phase-field models
Applied Mathematics Letters, 2006
A first order phase transition with non-constant density
Journal of Mathematical Analysis and Applications, 2011
Applications of Mathematics, 2008
Irreversible thermodynamics—a tool to describe phase transitions far from global equilibrium
Chemical Engineering Science, 2004
Isothermal Nonstandard Diffusion in a Two-Component Fluid Mixture: A Hamiltonian Approach
Journal of Non-Equilibrium Thermodynamics, 1998
Non-local modelling of heat conduction with phase change
2021
A phase field model for a solid–liquid phase transition
Mechanics Research Communications, 2011
Nonlinear Analysis: Real World Applications, 2004
Model of phase transitions with coupling of the order parameter and its gradient
Modelling of thermal diffusion and thermodynamic restrictions
International Journal of Engineering Science, 2014