The Swift-Hohenberg Equation Requires Non-Local Modifications to Model Spatial Pattern Evolution of Physical Problems

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dc.creatorRoberts, A. J.
dc.date1994-12-09
dc.date.accessioned2026-07-07T09:15:59Z
dc.date.available2026-07-07T09:15:59Z
dc.descriptionI argue that ``good'' mathematical models of spatio-temporal dynamics in two-dimensions require non-local operators in the nonlinear terms. Consequently, the often used Swift-Hohenberg equation requires modification as it is purely local. My aim here is to provoke more critical examination of the rationale for using the Swift-Hohenberg equations as a reliable model of the spatial pattern evolution in specific physical systems.
dc.description7 pages, standard LaTeX (without figures), 18K
dc.identifierhttps://arxiv.org/abs/patt-sol/9412002
dc.identifierhttp://arxiv.org/abs/patt-sol/9412002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153206
dc.subjectPattern Formation and Solitons
dc.titleThe Swift-Hohenberg Equation Requires Non-Local Modifications to Model Spatial Pattern Evolution of Physical Problems
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