Pattern formation in a 2D simple chemical system with general orders of autocatalysis and decay |
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| Authors: | Hubbard, M. E. Leach, J. A. Wei, J. C. |
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| Affiliation: | 1 School of Computing, University of Leeds, Leeds LS2 9JT, UK, 2 Department of Mathematics, University of Reading, Whiteknights, Reading, Berkshire RG6 6AX, UK, 3 Department of Mathematics, The Chinese University of Hong Kong, Shatin, NT, Hong Kong |
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| Abstract: | In this paper, we investigate pattern formation in a coupledsystem of reactiondiffusion equations in two spatialdimensions. These equations arise as a model of isothermal chemicalautocatalysis with termination in which the orders of autocatalysisand termination, m and n, respectively, are such that 1 <n < m. We build on the preliminary work by Leach & Wei(2003, Physica D, 180, 185209) for this coupled systemin one spatial dimension, by presenting rigorous stability analysisand detailed numerical simulations for the coupled system intwo spatial dimensions. We demonstrate that spotty patternsare observed over a wide parameter range. |
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| Keywords: | pattern formation reaction– diffusion. |
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