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.
© 2007 American Institute of Mathematical Sciences
J. Gjorgjieva and J. Jacobsen. "Turing Patterns on Growing Spheres: The Exponential Case." Discrete Contin. Dyn. Syst., (2007), Series A, suppl., p. 436-445.