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

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 نشر من قبل Tony Roberts
 تاريخ النشر 1994
  مجال البحث فيزياء
والبحث باللغة English
 تأليف A.J. Roberts




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I 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.



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