Analysis of pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients

Analysis of pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients

We consider a reaction diffusion system in one spatial dimension in which the diffusion coefficients are spatially varying. We present a non-standard linear analysis for a certain class of spatially varying diffusion coefficients and show that it accurately predicts the behaviour of the full nonline...

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Bibliografiske detaljer
Main Authors:	Benson, D, Maini, P, Sherratt, J
Format:	Journal article
Udgivet:	1993

Lignende værker

Pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients
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af: Crampin, E, et al.
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af: Crampin, E, et al.
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af: Murray, J, et al.
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af: Crampin, E, et al.
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Reaction and diffusion on growing domains: scenarios for robust pattern formation.
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Udgivet: (1999)

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Udgivet: (1995)

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Oscillatory Turing Patterns in a Simple Reaction-Diffusion System
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Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
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Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems.
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