Turing patterns on growing spheres: the exponential case

Julijana Gjorgjieva; Jon Jacobsen

doi:10.3934/proc.2007.2007.436

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2007, Volume 2007: 436-445. Doi: 10.3934/proc.2007.2007.436 open access

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Turing patterns on growing spheres: the exponential case

Julijana Gjorgjieva^1, and
Jon Jacobsen^2,

1.
Centre for Mathematical Sciences, Wilberforce Rd, Cambridge CB3 0WA
2.
Harvey Mudd College, Mathematics Department, 301 Platt Blvd, Claremont, CA 91711

Received: August 31, 2006

Revised: March 31, 2007

Published: August 2007

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Abstract

We consider Turing patterns for reaction-diffusion systems on the surface of a growing sphere. In particular, we are interested in the effect of dynamic growth on the pattern formation. We consider exponential isotropic growth of the sphere and perform a linear stability analysis and compare the results with numerical simulations.

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Mathematics Subject Classification: Primary: 35K57; Secondary: 37N25, 92C15.

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