Reaction-diffusion front crossing a local defect

Jean-Guy Caputo and Benoit Sarels
Phys. Rev. E 84, 041108 – Published 10 October 2011

Abstract

The interaction of a Zeldovich-Frank-Kamenetsky reaction-diffusion front with a localized defect is studied numerically and analytically. For the analysis, we start from conservation laws and develop simple, collective variable, ordinary differential equations for the front position and width. Their solutions are in good agreement with the solutions of the full problem. Finally, using this reduced model, we explain the pinning of the front on a large defect and obtain a quantitative criterion.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
6 More
  • Received 14 June 2011

DOI:https://doi.org/10.1103/PhysRevE.84.041108

©2011 American Physical Society

Authors & Affiliations

Jean-Guy Caputo* and Benoit Sarels

  • Laboratoire de Mathématiques, Institut National des Sciences Appliquées de Rouen, Boîte Postale 8, 76801 Saint-Étienne du Rouvray, France

  • *caputo@insa-rouen.fr
  • benoit.sarels@math.cnrs.fr

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 84, Iss. 4 — October 2011

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×