INSTABILITY IN PARALLEL FLOWS REVISITED

Authors
FRIEDLANDER S HOWARD L
Citation
S. Friedlander et L. Howard, INSTABILITY IN PARALLEL FLOWS REVISITED, Studies in applied mathematics, 101(1), 1998, pp. 1-21
Citations number
27
Categorie Soggetti
Mathematics,Mathematics
Journal title
Studies in applied mathematics → ACNP
ISSN journal
00222526
Volume
101
Issue
1
Year of publication
1998
Pages
1 - 21
Database
ISI
SICI code
0022-2526(1998)101:1<1:IIPFR>2.0.ZU;2-8
Abstract
An example of an unstable inviscid plane parallel shear flow with clas sical boundary conditions is presented. The complete unstable spectrum is exhibited using techniques of continued fractions for the shear fl ow with profile U(y) = cos my. For such flows spectral instability imp lies nonlinear instability. A three-dimensional generalization is disc ussed.