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 …

Abstract CONTENTS Introduction Chapter I. General statement of the Stefan problem and
some of its variants Chapter II. The one-dimensional non-stationary problem Chapter III. The …

The Stefan problem is a mathematical model for melting of a body of ice in contact with
water. The initial value problem for the one-phase Stefan problem is formulated as follows:(S …

We investigate an application of the method of fundamental solutions (MFS) to the one-
dimensional inverse Stefan problem for the heat equation by extending the MFS proposed in …

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 …

In liquid-solid phase change phenomena, the Stefan problem describes the time evolution of
the material's temperature profile and the interface position. This paper presents an event …

Theoretical understanding of phase change heat transfer problems is of much interest for
multiple engineering applications. Exact solutions for phase change heat transfer problems …

The inverse Stefan problem can be understood as a problem of nonlinear approximation
theory which we solved numerically by a generalized Gauss-Newton method introduced by …

This paper presents an observer-based event-triggered boundary control strategy for the
one-phase Stefan problem, utilising the position and velocity measurements of the moving …

Three inverse problems of reconstructing the time-dependent, spacewise-dependent and
both initial condition and spacewise-dependent heat source in the one-dimensional heat …