Fluid Dynamic Instabilities: Theory and Application to Pattern Forming in Complex Media
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Biophysics
Public Health
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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'.
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Bocek Z, Petkovsek M, Clark S, Fezzaa K, Dular M Ultrason Sonochem. 2024; 108:106970.
PMID: 38943847 PMC: 11261489. DOI: 10.1016/j.ultsonch.2024.106970.
Dendritic patterns from shear-enhanced anisotropy in nematic liquid crystals.
Zhang Q, Zhou S, Zhang R, Bischofberger I Sci Adv. 2023; 9(2):eabq6820.
PMID: 36638169 PMC: 9839321. DOI: 10.1126/sciadv.abq6820.
Fluid-Mediated Fabrication of Complex Assemblies.
Brun P JACS Au. 2022; 2(11):2417-2425.
PMID: 36465550 PMC: 9709784. DOI: 10.1021/jacsau.2c00427.
Instability mediated self-templating of drop crystals.
Cai L, Marthelot J, Brun P Sci Adv. 2022; 8(27):eabq0828.
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