American Institute of Mathematical Sciences

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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

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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