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SPATIALLY PERIODIC STRUCTURES OF A FOURTH ORDER REACTION-DIFFUSION SYSTEM WITH DIFFUSION INSTABILITY

LU QI-SHAO

SPATIALLY PERIODIC STRUCTURES OF A FOURTH ORDER REACTION-DIFFUSION SYSTEM WITH DIFFUSION INSTABILITY

LU QI-SHAO
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  • Received Date:  30 December 1988
  • Published Online:  08 July 2005

SPATIALLY PERIODIC STRUCTURES OF A FOURTH ORDER REACTION-DIFFUSION SYSTEM WITH DIFFUSION INSTABILITY

  • 1. 北京航空航天大学应用数理系

Abstract: Spatially periodic structures of a parameterized fourth order reaction-diffusion system with-diffusion instability, where the diffusion term is governed by Cahn-Hillard's generalized diffusion law, are studied by means of bifurcation theory. A criterion of bifurcation for generating ipatially periodic steady states from spatially homogeneous steady states is provided through stability and singularity analysis. The second order approximation of spatially periodic steady states. is obtained by singular perturbation technique. The theoretical results in this paper are in good accord ance with numerical results in [3] .

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