An interpretation of absolutely and convectively unstable waves using series solutions

DOI10.1016/j.wavemoti.2010.04.003zbMath1231.76110OpenAlexW2017640772MaRDI QIDQ661832

Brian T. Helenbrook, Nathaniel S. Barlow, Steven J. Weinstein, Sung P. Lin

Publication date: 11 February 2012

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2010.04.003

zbMATH Keywords

absolute instabilityconvective instabilitynormal-mode analysistransient growthjump-periodic boundary conditionsspatio-temporal stability analysis

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Absolute and convective instability and stability in hydrodynamic stability (76E15) Series solutions to PDEs (35C10) Initial value problems for linear first-order PDEs (35F10)

Related Items

On the response of convectively unstable flows to oscillatory forcing with application to liquid sheets ⋮ On the two-dimensional extension of one-dimensional algebraically growing waves at neutral stability

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