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Journal of Mathematical Analysis and Applications
Volume 170, Issue 2, 1 November 1992, Pages 433-448
 
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doi:10.1016/0022-247X(92)90028-C    How to Cite or Link Using DOI (Opens New Window)
Copyright © 1992 Published by Elsevier Inc.

Large-time solutions of the two-phase Stefan problem with delay*1

Karl-Heinz Hoffmann, Nobuyuki Kenmochi and Marek Niezgódka

Institute of Mathematics, University of Augsburg, Universitätstrasse 2, D-8900, Augsburg, Germany Department of Mathematics, Faculty of Education, Chiba University, Yayoi-cho I-33, Chiba, Japan Institute of Applied Mathematics and Mechanics, Warsaw University, PKiN, 00-901, Warsaw, Poland

Received 1 June 1990. 
Submitted by Avner Friedman 
Available online 30 June 2004.

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Abstract

The paper is devoted to questions of an analysis of the large-time solutions to a class of two-phase Stefan problems with delay in the source terms of the governing equations. The case of one space dimension is considered. Results on the asymptotic behaviour of the solutions at t → ∞ are established.

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