A general mechanism for ``inexact phase differences in reaction-diffusion-advection systems

DOI10.1016/S0375-9601(02)01387-7zbMath1001.76112MaRDI QIDQ1848237

Michael Menzinger, Razvan Alin Satnoianu

Publication date: 19 November 2002

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

reactive flowsreaction-diffusion-advection systemTuring systemphase differencestationary wavescellopen flowsorganismpositional information theorysegmentation pattern

Mathematics Subject Classification ID

Diffusion (76R50) Developmental biology, pattern formation (92C15) Reaction effects in flows (76V05)

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Pattern solutions of the Klausmeier model for banded vegetation in semi-arid environments II: patterns with the largest possible propagation speeds ⋮ High accuracy compact difference and multigrid methods for two-dimensional time-dependent nonlinear advection-diffusion-reaction problems ⋮ Flow-distributed spikes for Schnakenberg kinetics ⋮ Operator splitting implicit integration factor methods for stiff reaction-diffusion-advection systems ⋮ Diffusive instabilities and spatial patterning from the coupling of reaction–diffusion processes with Stokes flow in complex domains ⋮ EMERGENCE OF TRAVELING PATTERN IN A PREDATOR–PREY SYSTEM

Cites Work

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• Spatio-temporal structures in a differential flow reactor with cubic autocatalator kinetics
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• The development of spatial structure in an ionic chemical system induced by applied electric fields
• Phase differences in reaction-diffusion-advection systems and applications to morphogenesis
• Turing instabilities in general systems
• Parameter space analysis, pattern sensitivity and model comparison for Turing and stationary flow-distributed waves (FDS)

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