Turing patterns on growing spheres: the exponential case

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2007, 2007(Special): 436-445. doi: 10.3934/proc.2007.2007.436

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, United Kingdom
2.	Harvey Mudd College, Mathematics Department, 301 Platt Blvd, Claremont, CA 91711, United States

Received September 2006 Revised April 2007 Published September 2007

Abstract
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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.

Keywords: reaction-diffusion, growth., sphere, Turing, Pattern formation.

Mathematics Subject Classification: Primary: 35K57; Secondary: 37N25, 92C1.

Citation: Julijana Gjorgjieva, Jon Jacobsen. Turing patterns on growing spheres: the exponential case. Conference Publications, 2007, 2007 (Special) : 436-445. doi: 10.3934/proc.2007.2007.436

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