Nous étudions les solutions de la phase unique surfusion du problème Stefan, avec cinétique, qui décrit le gel d’un liquide en une dimension spatiale. En supposant que température initiale est entre point d’équilibre et invariante caractéristique dans liquide, notre théorème principal montre que, lorsque paramètre cinétique tend vers 0, frontière libre converge (éventuellement irrégulière) Stef...

The phase transition between solid and liquid in an undercooled liquid leads to dendritic growth of the solid phase. The problem is modelled by the Stefan problem with a modiied Gibbs-Thomson law, which includes the anisotropic mean curvature corresponding to a surface energy that depends on the direction of the interface normal. A nite element method for discretization of the Stefan problem is...

In this paper we study an initial{boundary value Stefan{type problem with phase relaxation where the heat ux is proportional to the gradient of the inverse absolute temperature. This problem arises naturally as limiting case of the Penrose{Fife model for diiusive phase transitions with non{conserved order parameter if the coeecient of the interfacial energy is taken as zero. It is shown that th...

One and two phase Stefan problems for the linear heat equation have been the subject of many studies in the past [1, 2]. Indeed these problems have a great physical relevance since they provide a mathematical model for the processes of phase changes [3, 4]. The boundary between the two phases is a free boundary: its motion has to be determined as part of the solution. More recently the previous...

The ice formation in a water body is examined for the computation of temperature field, phase change and a moving ice-water interface whose location is not known á priori. This is classically referred to as the Stefan problem [Rubinstein, L.I. (1971) The Stefan Problem (American Mathematical Society, Providence, Rhode Island 02904]. Based on the Duvaut [Duvaut, G. (1973) "Résolution d'un problé...

Josef Stefan was a professor of physics at the University of Vienna between 1863 and 1893. During his time in Vienna he was a fruitful researcher in many scientific fields, but he is best known for his work in heat transfer. He was a gifted experimentalist and theoretician who made contributions to conduction, convection and radiation heat transfer. Stefan was the first to accurately measure th...

We consider a new Stefan-type problem for the classical heat equation with latent and phase-change temperature depending of variable time. prove equivalence this Stefan class boundary value problems nonlinear canonical evolution involving source term two free boundaries. This is obtained by applying reduction to Burgers reciprocal-type transformations. Moreover, particular case, we obtain uniqu...