Nonlinear Instability Analysis
Published on 1. July 1997
Book
Hardback
336 pages
978-1-85312-428-0 (ISBN)
Description
This volume comprises chapters covering most of the techniques employed in modern stability analysis of nonlinear models. Techniques are introduced and employed in the context of diverse real-world problems drawn from a number of fields including, fluid and solid mechanics, electromagnetic and plasma wave propagation, mathematical ecology and mathematical biology.
More details
Series
Language
English
Place of publication
Southampton
United Kingdom
Target group
Professional and scholarly
Illustrations
illustrations
Dimensions
Height: 216 mm
Width: 138 mm
ISBN-13
978-1-85312-428-0 (9781853124280)
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Schweitzer Classification
Content
Dimensions of attractors and small length scales in solutions of the two- and three-dimensional Navier-Stokes equations; Stability conditions for the persistence, disruption and decay of two-dimensional dissipative three-mode patterns in moderately extended nonlinear systems and comparisons with simulations; Amplitude equations for nonlinear evolution and possible persistence of stripe and hexagonal patterns in two nonlinear systems; A nonlinear stability analysis of a prototype model for Rayleigh-Benard convection in planetary atmospheres; A nonlinear stability analysis of a prototype model for one-layer Benard-Marangoni convection with a deformable interface; Weakly and strongly nonlinear stability analyses for convection systems; Nonlinear gravity waves on the surface of an arbitrary shear flow with variable depth; Asymptotic methods in soliton stability theory.