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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 2004 Volume 16, Number 4, Pages 41–46 (Mi mm306)

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



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