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Fluid dynamic instabilities: theory and application to pattern forming in complex media

François Gallaire, P.-T. Brun
Published 3 April 2017.DOI: 10.1098/rsta.2016.0155
François Gallaire
Laboratory of Fluid Mechanics and Instabilities, Ecole Polytechnique Federale de Lausanne, Lausanne 1015, Switzerland
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P.-T. Brun
Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
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Abstract

In this review article, we exemplify the use of stability analysis tools to rationalize pattern formation in complex media. Specifically, we focus on fluid flows, and show how the destabilization of their interface sets the blueprint of the patterns they eventually form. We review the potential use and limitations of the theoretical methods at the end, in terms of their applications to practical settings, e.g. as guidelines to design and fabricate structures while harnessing instabilities.

This article is part of the themed issue ‘Patterning through instabilities in complex media: theory and applications’.

Footnotes

  • One contribution of 13 to a theme issue ‘Patterning through instabilities in complex media: theory and applications’.

  • Accepted February 3, 2017.
  • © 2017 The Author(s)
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13 May 2017
Volume 375, issue 2093
Philosophical Transactions of the Royal Society A: Mathematical, 				Physical and Engineering Sciences: 375 (2093)
  • Table of Contents
Theme issue “Patterning through instabilities in complex media: theory and applications” compiled and edited by Pasquale Ciarletta and Dominic Vella

Keywords

instabilities
pattern
free interface
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Fluid dynamic instabilities: theory and application to pattern forming in complex media
François Gallaire, P.-T. Brun
Phil. Trans. R. Soc. A 2017 375 20160155; DOI: 10.1098/rsta.2016.0155. Published 3 April 2017
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Review article:

Fluid dynamic instabilities: theory and application to pattern forming in complex media

François Gallaire, P.-T. Brun
Phil. Trans. R. Soc. A 2017 375 20160155; DOI: 10.1098/rsta.2016.0155. Published 3 April 2017

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  • Article
    • Abstract
    • 1. Introduction
    • 2. Simple patterns, complex media
    • 3. From stability to pattern
    • 4. Harnessing instabilities
    • 5. Conclusion
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