Journal of Nonlinear Mathematical Physics

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Volume 11, Issue 1, February 2004, Pages 134 - 140

A Two-Phase Free Boundary Problem for the Nonlinear Heat Equation

Authors
S. De Lillo, M.C. Salvatori
Corresponding Author
S. De Lillo
Received 18 June 2003, Accepted 9 September 2003, Available Online 1 February 2004.
DOI
10.2991/jnmp.2004.11.1.10How to use a DOI?
Abstract

A two-phase free boundary problem associated with nonlinear heat conduction is cosidered. The problem is mapped into two one-phase moving boundary problems for the linear heat equation, connected through a constraint on the relative motion of their moving boundaries. Existence and uniqueness of the solution is proved for small times and a particular exact solution is discussed.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
11 - 1
Pages
134 - 140
Publication Date
2004/02/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2004.11.1.10How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - S. De Lillo
AU  - M.C. Salvatori
PY  - 2004
DA  - 2004/02/01
TI  - A Two-Phase Free Boundary Problem for the Nonlinear Heat Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 134
EP  - 140
VL  - 11
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.1.10
DO  - 10.2991/jnmp.2004.11.1.10
ID  - Lillo2004
ER  -