This work is concerned with the study of an initial boundary value problem for a non-conserved phase field system arising from the Penrose-Fife approach to the kinetics of phase-transitions. The system couples a nonlinear parabolic equation for the absolute temperature with a nonlinear hyperbolic equation for the phase variable χ, which is characterized by the presence of an inertial term multiplied by a small positive coefficient µ. This feature is the main consequence of supposing that the responce of χ to the generalized force (which is the functional derivative of a free energy potential and arises as a consequence of the tendency of the free energy to decay towards a minimum), is subject to delay. We first obtain well-posedness for the...
We deal with a class of Penrose-Fife type phase field models for phase transitions, where the phase ...
In this paper we study a system of field equations of Penrose-Fife type governing the dynamics of ph...
We consider a conserved phase-field system coupling two nonlinear hyperbolic integro-differential eq...
This work is concerned with the study of an initial boundary value problem for a non-conserved phase...
This work is concerned with the study of an initial boundary value problem for a non-conserved phase...
The initial and boundary value problem is studied for a non-conserved phase-field system derived fro...
A singular nonlinear parabolic-hyperbolic PDE’s system describing the evolution of a material subjec...
A phase-field model of Penrose-Fife type for diffusive phase transitions with conserved order parame...
A singular nonlinear parabolic-hyperbolic PDE s system describ- ing the evolution of a material subj...
A phase-field model of Penrose-Fife type for diffusive phase transitions with conserved order parame...
Abstract. In this article, we study the long time behavior of a phase-field parabolic-hyperbolic sys...
A parabolic-hyperbolic nonconserved phase-field model is here analyzed. This is an evolution system ...
This work is concerned with the study of an initial and boundary value problem for a non-conserved s...
A Phase-field model of Penrose-Fife type for diffusive phase transitions with conserved order parame...
A non-conserved phase transition model of Penrose Fife type is considered where Dirichlet boundary c...
We deal with a class of Penrose-Fife type phase field models for phase transitions, where the phase ...
In this paper we study a system of field equations of Penrose-Fife type governing the dynamics of ph...
We consider a conserved phase-field system coupling two nonlinear hyperbolic integro-differential eq...
This work is concerned with the study of an initial boundary value problem for a non-conserved phase...
This work is concerned with the study of an initial boundary value problem for a non-conserved phase...
The initial and boundary value problem is studied for a non-conserved phase-field system derived fro...
A singular nonlinear parabolic-hyperbolic PDE’s system describing the evolution of a material subjec...
A phase-field model of Penrose-Fife type for diffusive phase transitions with conserved order parame...
A singular nonlinear parabolic-hyperbolic PDE s system describ- ing the evolution of a material subj...
A phase-field model of Penrose-Fife type for diffusive phase transitions with conserved order parame...
Abstract. In this article, we study the long time behavior of a phase-field parabolic-hyperbolic sys...
A parabolic-hyperbolic nonconserved phase-field model is here analyzed. This is an evolution system ...
This work is concerned with the study of an initial and boundary value problem for a non-conserved s...
A Phase-field model of Penrose-Fife type for diffusive phase transitions with conserved order parame...
A non-conserved phase transition model of Penrose Fife type is considered where Dirichlet boundary c...
We deal with a class of Penrose-Fife type phase field models for phase transitions, where the phase ...
In this paper we study a system of field equations of Penrose-Fife type governing the dynamics of ph...
We consider a conserved phase-field system coupling two nonlinear hyperbolic integro-differential eq...