Pattern formation caused by convective flows coming from the opposite directions
Matematičeskoe modelirovanie, Tome 16 (2004) no. 4, pp. 41-46

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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.
@article{MM_2004_16_4_a4,
     author = {A. A. Polezhaev},
     title = {Pattern formation caused by convective flows coming from the opposite directions},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {41--46},
     publisher = {mathdoc},
     volume = {16},
     number = {4},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_4_a4/}
}
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A. A. Polezhaev. Pattern formation caused by convective flows coming from the opposite directions. Matematičeskoe modelirovanie, Tome 16 (2004) no. 4, pp. 41-46. http://geodesic.mathdoc.fr/item/MM_2004_16_4_a4/