Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 32, Issue 17, Pages 2267-2286Publisher
WILEY
DOI: 10.1002/mma.1133
Keywords
pattern formation; reaction-diffusion equations; global weak solution
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We investigate a reaction-diffusion system proposed by H. Meinhardt as a model for pattern formation on seashells. We give a new proof for the existence of a local weak solution for general initial conditions and parameters upon using an iterative approach. Furthermore, the solution is shown to exist globally for suitable initial data. The behavior of the solution in time and space is illustrated through numerical simulations. Copyright (C) 2009 John Wiley & Sons, Ltd.
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