2 Introduction that the law of formation has been found. The corresponding direct problem is
to evaluate the sequence (an) given the law of formation. It is clear that such inverse …

The Stefan PDE system is a representative model for thermal phase change phenomena,
such as melting and solidification, arising in numerous science and engineering processes …

For the last decade, the author has been working to extend continuum mechanics to treat
moving boundaries in materials focusing, in particular, on problems of metallurgy. This …

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 …

The so-called Stefan system describes the dynamical model of the liquid–solid phase
change in materials ranging from water and ice in the polar caps to metal casting and …

The standard forces associated with continua arise as a response to the motion of material
points. That additional, configurational 1 forces may be needed to describe the internal …

The dynamical behaviour of the laser beam fusion cutting process of metals is investigated.
Integral methods such as the variational formulation are applied to the partial differential …

Ice melts into water in a hot environment. Conversely, water freezes into ice in a cold
environment. These phenomena are generally called “phase changes” between the liquid …

On the Stefan problem Page 1 Uspekhi Mat. Nauk 40:5 (1985), 133-185 Russian Math.
Surveys 40:5 (1985), 157-223 On the Stefan problem II Danilyuk CONTENTS Introduction …

1. Introduction. In [1] we analyzed a class of free-boundary problems for the heat equation in
one space dimension, releasing the sign restrictions on the data and the latent heat usually …