Fractal dimension of attractors for a Stefan problem

Michael L. Frankel; Victor Roytburd

doi:10.3934/proc.2003.2003.281

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2003, Volume 2003: 281-287. Doi: 10.3934/proc.2003.2003.281 open access

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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
2.
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180-3590

Received: July 31, 2002

Revised: February 28, 2003

Published: March 2003

Abstract Related Papers Cited by

Abstract

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.

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Mathematics Subject Classification: Primary: 35R35, 80A25; Secondary 35K57.

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