Boundary-driven instability

We analyse a reaction-diffusion system and show that complex spatial patterns can be generated by imposing Dirichlet boundary conditions on one or more of the reactant concentrations. This pattern persists even when the homogeneous steady state with Neumann conditions is stable.

Bibliographic Details
Main Authors: Maini, P, Myerscough, M
Format: Journal article
Published: 1997
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author Maini, P
Myerscough, M
author_facet Maini, P
Myerscough, M
author_sort Maini, P
collection OXFORD
description We analyse a reaction-diffusion system and show that complex spatial patterns can be generated by imposing Dirichlet boundary conditions on one or more of the reactant concentrations. This pattern persists even when the homogeneous steady state with Neumann conditions is stable.
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institution University of Oxford
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publishDate 1997
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spelling oxford-uuid:5cf06952-b171-4d18-8940-e31126a4f8002022-03-26T17:31:17ZBoundary-driven instabilityJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:5cf06952-b171-4d18-8940-e31126a4f800Mathematical Institute - ePrints1997Maini, PMyerscough, MWe analyse a reaction-diffusion system and show that complex spatial patterns can be generated by imposing Dirichlet boundary conditions on one or more of the reactant concentrations. This pattern persists even when the homogeneous steady state with Neumann conditions is stable.
spellingShingle Maini, P
Myerscough, M
Boundary-driven instability
title Boundary-driven instability
title_full Boundary-driven instability
title_fullStr Boundary-driven instability
title_full_unstemmed Boundary-driven instability
title_short Boundary-driven instability
title_sort boundary driven instability
work_keys_str_mv AT mainip boundarydriveninstability
AT myerscoughm boundarydriveninstability