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...

The solution of the Stefan problem for determination temperature fields in biological tissue during cryoablation defined areas with a view to their identification and localization, followed by therapeutic action is proposed. Three types cryoinstruments considers that as first approximation presents one-dimensional problem. Identify three isothermal surfaces reveal zone influence, freezing necro...

We study a novel two–sided Stefan problem – motivated by the study of certain 2D interfaces – in which boundaries at both sides of the sample encroach into the bulk with rate equal to the boundary value of the gradient. Here the density is in [0, 1] and takes the two extreme values at the two free boundaries. It is noted that the problem is borderline ill–posed: densities in excess of unity lia...