An isothermal model describing the separation of the components of a binary metallic alloy is considered. A process of phase transition is also assumed to occur in the solder; hence, the state of the material is described by two order parameters, i.e. the concentration c of the first component and the phase field ϕ. A physical derivation is provided starting from energy balance considerations. The resulting system of PDEs consists of a rather regular second-order parabolic equation for ϕ coupled with a fourth-order relation of Cahn–Hilliard type for c with constraint and solution-dependent mobility. Global existence of solutions is proved and several regularity properties are discussed under more restrictive assumptions on the physical para...
AbstractThe article analyzes a two-dimensional phase-field model for a non-stationary process of sol...
The article analyzes a two-dimensional phase-field model for a non-stationary process of solidificat...
We present an interpretation of the phase diagram for a binary alloy from the point of view of react...
An isothermal model describing the separation of the components of a binary metallic alloy is consid...
An isothermal model describing the separation of the components of a binary metallic alloy is consid...
An isothermal model describing the separation of the components of a binary metallic alloy is consid...
This work is concerned with the mathematical analysis of a system of partial differential equations ...
An isothermal model describing the separation of the components of a binary metallic alloy is consid...
This work is concerned with the mathematical analysis of a system of partial differential equations ...
The phase-field method provides a mathematical description for free-boundary problems associated to ...
In this paper we present a phase-field model to describe isothermal phase transitions between ideal ...
In this paper we present some theoretical results for a system of nonlinear partial differential equ...
AbstractIn this paper we present some theoretical results for a system of nonlinear partial differen...
We present the phenomenological thermodynamic modeling of binary alloys which demonstrate solubility...
The authors explore a unifying model which couples phase separation and damage processes in a system...
AbstractThe article analyzes a two-dimensional phase-field model for a non-stationary process of sol...
The article analyzes a two-dimensional phase-field model for a non-stationary process of solidificat...
We present an interpretation of the phase diagram for a binary alloy from the point of view of react...
An isothermal model describing the separation of the components of a binary metallic alloy is consid...
An isothermal model describing the separation of the components of a binary metallic alloy is consid...
An isothermal model describing the separation of the components of a binary metallic alloy is consid...
This work is concerned with the mathematical analysis of a system of partial differential equations ...
An isothermal model describing the separation of the components of a binary metallic alloy is consid...
This work is concerned with the mathematical analysis of a system of partial differential equations ...
The phase-field method provides a mathematical description for free-boundary problems associated to ...
In this paper we present a phase-field model to describe isothermal phase transitions between ideal ...
In this paper we present some theoretical results for a system of nonlinear partial differential equ...
AbstractIn this paper we present some theoretical results for a system of nonlinear partial differen...
We present the phenomenological thermodynamic modeling of binary alloys which demonstrate solubility...
The authors explore a unifying model which couples phase separation and damage processes in a system...
AbstractThe article analyzes a two-dimensional phase-field model for a non-stationary process of sol...
The article analyzes a two-dimensional phase-field model for a non-stationary process of solidificat...
We present an interpretation of the phase diagram for a binary alloy from the point of view of react...