Linear stability theory and bypass transition in shear flows

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43 Scopus citations

Abstract

This paper gives a brief introduction and review of linear stability theory with emphasis on nonmodal effects. The temporal and spatial framework is discussed and the response to periodic and stochastic forcing is addressed. An extension to nonautonomous evolution problems is presented. Bypass transition due to the secondary instability of streaks is used as an example to illustrate the role of a nonmodal linear mechanism in the breakdown to turbulence. © 2000 American Institute of Physics.
Original languageEnglish (US)
Pages (from-to)1788-1794
Number of pages7
JournalPhysics of Plasmas
Volume7
Issue number5 II
DOIs
StatePublished - Jan 1 2000
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics

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