Diffusion neutral and diffusion dependent patterning
نویسندگان
چکیده
In this paper a connection between reaction-diffusion systems with small diffusion coefficients and the corresponding shorted systems (where diffusion is removed) is investigated. We obtain new sufficient conditions showing when solutions are completely defined by the corresponding shorted system and when, in contrast to this, pattern formation depends on diffusion. We call the two situations, diffusion neutral and diffusion dependent patterning. We also discuss the consequences of being in one or in the other of the two situations and present examples from developmental biology and from fluid mechanics.
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