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Marginal and weakly nonlinear stability in spatially developing flows

✍ Scribed by R.V. Krechetnikov; S. Paolucci

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
393 KB
Volume
16
Category
Article
ISSN
0893-9659

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✦ Synopsis

Communicated by M. Slemrod

Abstract--This work is devoted to revealing the essence of near-critical phenomena in nonlinear problems with nonparallel effects. As a generalization of the well-known concept of linear stability in Fourier space for a parallel basic state, we introduce a new concept valid for nonparallel flows as well.

The new picture allows one to demonstrate the possible singular limit to the parallel case. Also, on its basis we derive a weakly nonlinear model valid near criticality. The damped Kuramoto-Sivashinsky equation with variable coefficients is used to illustrate the application of the theory. (~) 2003 Elsevier Science Ltd. All rights reserved.

πŸ“œ SIMILAR VOLUMES

Weakly nonlinear stability theory of str
Weakly nonlinear stability theory of stratified shear flows
✍ S. A. Maslowe; Dr P. G. Drazin πŸ“‚ Article πŸ“… 1977 πŸ› John Wiley and Sons 🌐 English βš– 948 KB

## Abstract A derivation is given of the first‐order, nonlinear amplitude equation governing the temporal evolution of finite‐amplitude waves in stratified shear flows. the theory has been developed on an essentially inviscid basis by perturbing away from the linear neutral stability curve in Richa