Fractal dimension of attractors for a Stefan problem

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2003, 2003(Special): 281-287. doi: 10.3934/proc.2003.2003.281

Fractal dimension of attractors for a Stefan problem

Michael L. Frankel ^1, and Victor Roytburd ^2,

1.	Department of Mathematical Sciences, Indiana University – Purdue University Indianapolis, Indianapolis, IN 46202-3216, United States
2.	Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180-3590

Received August 2002 Revised March 2003 Published April 2003

Abstract
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For a one-phase free-boundary problem with kinetics, which is known to generate a rich dynamics, we present results of a numerical study of the correlation dimension of the attractor.

Keywords: Stefan problem, correlation dimension., Free boundaries.

Mathematics Subject Classification: Primary: 35R35, 80A25; Secondary 35K5.

Citation: Michael L. Frankel, Victor Roytburd. Fractal dimension of attractors for a Stefan problem. Conference Publications, 2003, 2003 (Special) : 281-287. doi: 10.3934/proc.2003.2003.281

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