The classical Stefan model is a free boundary problem that represents thermal processes in
phase transitions just by accounting for heat-diffusion and exchange of latent heat. The …

We show how the action on two simultaneous effects (a suitable coupling about velocity and
temperature and a low range of temperature but upper that the phase changing one) may be …

The classical Stefan problem, concerning mere heat‐transfer during solid‐liquid phase
transition, is here enhanced towards mechanical effects. The Eulerian description at large …

The existence of global weak solutions to the degenerate problem describing Joule's
heating in a current and heat conductive medium is proved via the Galerkin method. The …

The paper studies the evolution of the thermomechanical and electric state of a
thermoviscoelastic thermistor that is in frictional contact with a reactive foundation. The …

The existence of a weak solution to a dynamic model for a thermistor, which takes into
account the thermoelastic properties of the device, is established. The model consists of a …

Induction furnaces are widely used by metallurgical industry in several processes involving
different materials, such as metal hardening, casting or melting. Basically, these furnaces …

We consider multidimensional two-phase Stefan problem for degenerate parabolic
equations of the porous medium type in classes of smooth functions. First we find a natural …

We prove the existence of generalized weak solutions of a new model for the process of in
situ vitrification. The model describes the steady process of vitrification of soil, ie the melting …

In this paper we prove the existence and regularity of a solution to a two-dimensional system
of evolutionary hemivariational inequalities which describes the Boussinesq model with …