A RENORMALIZATION APPROACH TO REACTION-DIFFUSION PROCESSES ON FRACTALS-Reference-Cited by-同舟云学术

A RENORMALIZATION APPROACH TO REACTION-DIFFUSION PROCESSES ON FRACTALS

Published:2003-12 Issue:04 Volume:11 Page:315-330
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

ABDULBAKE JANAN¹,MULHOLLAND ANTHONY J.²,GOMATAM JAGANNATHAN¹

Affiliation:

1. Department of Mathematics, Glasgow Caledonian University, Glasgow, UK

2. Department of Mathematics, University of Strathclyde, Livingstone Tower, 26 Richmond Street, Glasgow G1 1XH, UK

Abstract

Of fundamental importance to wave propagation in a wide range of physical phenomena is the structural geometry of the supporting medium. Recently, there have been several investigations on wave propagation in fractal media. We present here a renormalization approach to the study of reaction-diffusion (RD) wave propagation on finitely ramified fractal structures. In particular we will study a Rinzel-Keller (RK) type model, supporting travelling waves on a Sierpinski gasket (SG), lattice.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X03002191

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