Fluid dynamic instabilities: Theory & application to pattern forming in complex media

François Gallaire, P. T. Brun

Research output: Contribution to journalReview articlepeer-review

73 Scopus citations


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'.

Original languageEnglish (US)
Article number20160155
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2093
StatePublished - May 13 2017
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Engineering
  • General Physics and Astronomy
  • General Mathematics


  • Free interface
  • Instabilities
  • Pattern


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