Page 1 DE GRUYTER Anvarbek M. Meirmanov EXPOSITIONS IN MATHEMATICS 3 The Stefan
Problem W DE G Page 2 • Page 3 Page 4 Page 5 de Gruyter Expositions in Mathematics 3 …

..." What do you call work?"" Why ain't that work?" Tom resumed his whitewashing, and
answered carelessly:" Well. lI1a), he it is, and maybe it aill't. All I know, is, it suits Tom …

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 …

The book is devoted to the study of distributed control problems governed by various
nonsmooth state systems. The main questions investigated include: existence of optimal …

We consider a new concept of weak solutions to the phase-field equations with a small
parameter ε characterizing the length of interaction. For the standard situation of a single …

1. Introduction. The classical one-dimensional Stefan problem has been widely studied
since 1831 (see [1]); it models conductive heat transfer on either side of a phase boundary in …

We study a nonlocal version of the one-phase Stefan problem which takes into account
midrange interactions, a model of phase transition which may be of interest at a certain …

These notes cover a portion of a course of the Doctorate Modelli e metodi matematici per la
tecnologia e la societa, given in 2001 in Rome. The title of the course was 'Evolution …

In the melting of a pure metal by volume heating, when superheating does not occur, there
will be a region in which the metal is neither pure liquid nor pure solid, called a mushy …

This paper presents an overview of the free boundary problems connected to the problem of
Stefan type or, more generally, to problems describing a change of phase. After a sketch of …