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Pattern selection in a reaction-diffusion equation

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Abstract

This paper studies the pattern selection in a spatially-periodic problem of a simplified reaction-diffusion system described by an evolutionary Duffing equation. Numerical explorations by a pseudo-spectral method reveal the dependence of the pattern formation on the initial profile as well as the parameter. Only patterns with 2m humps are found to be meta-stable in the corresponding parameter ranges.

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Authors and Affiliations

  1. Department of Mechanics and Engineering Science, Peking University, 100871, Bei**g, China

    Wang **

  2. Division of Applied Mathematics, Brown University, Providence, USA

    Hsieh Din-Yu

  3. State Key Laboratory for Turbulence Research, Department of Mechanics and Engineering Science, Peking University, 100871, Bei**g, China

    Tang Shaoqiang

Authors
  1. Wang **
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  2. Hsieh Din-Yu
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  3. Tang Shaoqiang
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Additional information

The project supported by Chinese Special Funds for Major State Basic Research Project “Nonlinear Science”, and NSFC (10002002 and 19990510)

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**, W., Din-Yu, H. & Shaoqiang, T. Pattern selection in a reaction-diffusion equation. Acta Mech Sinica 18, 652–660 (2002). https://doi.org/10.1007/BF02487968

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  • DOI: https://doi.org/10.1007/BF02487968

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