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Pattern formation caused by convective flows coming from the opposite directions
A. A. Polezhaev P. N. Lebedev Physical Institute, Russian Academy of Sciences
Abstract:
It is shown that convective flows of the inhibitor variable coming from the opposite directions may cause violation of stability of the spatially uniform state. The conditions of the reaction-convection-diffusion instability are obtained which are the generalization of the Turing instability conditions for a reaction-diffusion system. These analytic results were confirmed by numeric simulations on the example of the Brusselator model.
Received: 10.07.2003
Citation:
A. A. Polezhaev, “Pattern formation caused by convective flows coming from the opposite directions”, Mat. Model., 16:4 (2004), 41–46
Linking options:
https://www.mathnet.ru/eng/mm306 https://www.mathnet.ru/eng/mm/v16/i4/p41
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