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The European Physical Journal Special Topics

, Volume 227, Issue 5–6, pp 521–531 | Cite as

Fronts described by the Kuramoto–Sivashinsky equation under surface tension driven flow

  • Roberto Guzman
  • P. M. Vilela
  • Desiderio A. Vasquez
Regular Article
Part of the following topical collections:
  1. Nonlinear Phenomena in Physics: New Techniques and Applications

Abstract

We study chemical reaction fronts described by the Kuramoto–Sivashinsky equation coupled to surface tension driven flow. We consider the front as a thin interface separating reacted from unreacted fluids inside a two-dimensional fluid layer. The top surface of the layer is open to the atmosphere. Fluid motion is caused by surface tension gradients across the reaction front. We use the equations describing Stokes flow to model the fluid motion inside the fluid layer. We apply a linear stability analysis to determine the stability of the steady front solutions. We find that initially unstable fronts can become stable due to fluid motion.

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Copyright information

© EDP Sciences and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Roberto Guzman
    • 1
  • P. M. Vilela
    • 1
  • Desiderio A. Vasquez
    • 1
    • 2
  1. 1.Departamento de Ciencias, Sección Física, Pontificia Universidad Católica del PerúSan Miguel, LimaPerú
  2. 2.Department of PhysicsIndiana University Purdue University Fort WayneFort WayneUSA

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