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A phase-change problem for an extended heat conduction model

✍ Scribed by B. D'Acunto; M. De Angelis

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
597 KB
Volume
35
Category
Article
ISSN
0895-7177

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✦ Synopsis

The aim of this paper is the analysis of a free boundary value related to a generalized heat conduction model. The qualitative analysis proposed in this paper is developed also in view of the applications of suitable computational schemes to obtain quantitative results. A basic role is played by the fundamental solution of a third-order operator, explicitly determined in a previous paper. We first discuss a method to obtain the solutions to a moving boundary value problem for a third-order operator.

Next, by using the properties of the function K, the free boundary value problem is reduced to a Volterra nonlinear system for which an existence and uniqueness result is given.

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