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Turing patterns on growing spheres: the exponential case

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

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