Add to ORKGThe asymptotic behaviour of a singular-perturbed two-phase Stefan problem due to slow diffusion in one of the two phases is investigated. In the limit the model equations reduce to a one-phase Stefan problem. A boundary layer at the moving interface makes it necessary to use a corrected interface condition obtained from matched asymptotic expansions. The approach is validated by numerical experiments using a front-tracking method
The macroscopic description of matter undergoing a phase change (the Stefan Problem) can be formulat...
The paper is concerned with boundary control of two-phase Stefan problems. A construction of optima...
AbstractThe paper is devoted to questions of an analysis of the large-time solutions to a class of t...
AbstractThe asymptotic behavior of a singular-perturbed two-phase Stefan problem due to slow diffusi...
We treat two related moving boundary problems. The first is the ill-posed Stefan problem for meltin...
The classical Stefan problem for freezing (or melting) a sphere is usually treated by assuming that ...
AbstractBoth one-dimensional two-phase Stefan problem with the thermodynamic equilibrium condition u...
A Stefan problem is a problem involving a parabolic differential equation with a moving boundary. W...
AbstractThe swelling of grease, grain and polymers can be modelled by a nonlinear diffusion equation...
This paper is concerned with singular Stefan problems in which the heat flux is proportional to the ...
Over a finite 1-D specimen containing two phases of a pure substance, it has been shown that the liq...
This work is concerned with the analysis of the singularities that interfaces may develop in the cl...
In this paper, a classical Stefan problem is studied. It is assumed that a small, time-dependent hea...
A model for the evolution of phase boundaries reminiscent of the phase-field model is considered. T...
Abstract. Approximation methods to the classical one-phase Stefan problems and the porous medium equ...
The macroscopic description of matter undergoing a phase change (the Stefan Problem) can be formulat...
The paper is concerned with boundary control of two-phase Stefan problems. A construction of optima...
AbstractThe paper is devoted to questions of an analysis of the large-time solutions to a class of t...
AbstractThe asymptotic behavior of a singular-perturbed two-phase Stefan problem due to slow diffusi...
We treat two related moving boundary problems. The first is the ill-posed Stefan problem for meltin...
The classical Stefan problem for freezing (or melting) a sphere is usually treated by assuming that ...
AbstractBoth one-dimensional two-phase Stefan problem with the thermodynamic equilibrium condition u...
A Stefan problem is a problem involving a parabolic differential equation with a moving boundary. W...
AbstractThe swelling of grease, grain and polymers can be modelled by a nonlinear diffusion equation...
This paper is concerned with singular Stefan problems in which the heat flux is proportional to the ...
Over a finite 1-D specimen containing two phases of a pure substance, it has been shown that the liq...
This work is concerned with the analysis of the singularities that interfaces may develop in the cl...
In this paper, a classical Stefan problem is studied. It is assumed that a small, time-dependent hea...
A model for the evolution of phase boundaries reminiscent of the phase-field model is considered. T...
Abstract. Approximation methods to the classical one-phase Stefan problems and the porous medium equ...
The macroscopic description of matter undergoing a phase change (the Stefan Problem) can be formulat...
The paper is concerned with boundary control of two-phase Stefan problems. A construction of optima...
AbstractThe paper is devoted to questions of an analysis of the large-time solutions to a class of t...