Nonlinear instability analysis edited by Lokenath Debnath

Call Number	532 D35N
Author	Debnath,Lokenath.
Title	Nonlinear instability analysis edited by Lokenath Debnath
Publication	Boston : WIT Press 1997-c2001.
Physical Description	351p.
Series	Advances in fluid mechanics, 1353-808X ; v. 12, 28
Notes	Vol. 2 edited by L. Debnath. Vol. 2 imprint: Southampton ; Boston : WIT Press ; Billerica, MA : Computational Mechanics.
Contents	Dimensions of attractors and small length scales in solutions of the two-and three-dimensional Navier-Stokes equations / J.D. Gibbon -- Stability conditions for the persistence, disruption and decay of two-dimensional dissipative three-mode patterns in moderately extended nonlinear systems and comparisons with simulations / S. Roy Choudhury -- Amplitude equations for nonlinear evolution and possible persistence of stripe and hexagonal patterns in two nonlinear systems / S. Roy Choudhury, L. Margarella and J. Scanlon -- A nonlinear stability analysis of a prototype model for Rayleigh-B�enard convection in planetary atmospheres / D.J. Wollkind and L. Zhang -- A nonlinear stability analysis of a prototype model for one-layer B�enard-Marnagoni convection with a deformable interface / D.J. Wollkind, L. Zhang and L.E. Stephenson -- Weakly and strongly nonlinear stability analyses for convection systems / D.N. Riahi -- Nonlinear gravity waves on the surface of an arbitrary shear flow with variable depth / R.S. Johnson -- Asymptotic methods in soliton stability theory / D.E. Pelinovsky and R.H. Grimshaw.
Subject	FLUID DYNAMICS. NONLINEAR THEORIES. Stability. Fluides, Dynamique des. Th�eories non lin�eaires.

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$a Dimensions of attractors and small length scales in solutions of the two-and three-dimensional Navier-Stokes equations / J.D. Gibbon -- Stability conditions for the persistence, disruption and decay of two-dimensional dissipative three-mode patterns in moderately extended nonlinear systems and comparisons with simulations / S. Roy Choudhury -- Amplitude equations for nonlinear evolution and possible persistence of stripe and hexagonal patterns in two nonlinear systems / S. Roy Choudhury, L. Margarella and J. Scanlon -- A nonlinear stability analysis of a prototype model for Rayleigh-B�enard convection in planetary atmospheres / D.J. Wollkind and L. Zhang -- A nonlinear stability analysis of a prototype model for one-layer B�enard-Marnagoni convection with a deformable interface / D.J. Wollkind, L. Zhang and L.E. Stephenson -- Weakly and strongly nonlinear stability analyses for convection systems / D.N. Riahi -- Nonlinear gravity waves on the surface of an arbitrary shear flow with variable depth / R.S. Johnson -- Asymptotic methods in soliton stability theory / D.E. Pelinovsky and R.H. Grimshaw.

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Notes	Vol. 2 edited by L. Debnath. Vol. 2 imprint: Southampton ; Boston : WIT Press ; Billerica, MA : Computational Mechanics.
Contents	Dimensions of attractors and small length scales in solutions of the two-and three-dimensional Navier-Stokes equations / J.D. Gibbon -- Stability conditions for the persistence, disruption and decay of two-dimensional dissipative three-mode patterns in moderately extended nonlinear systems and comparisons with simulations / S. Roy Choudhury -- Amplitude equations for nonlinear evolution and possible persistence of stripe and hexagonal patterns in two nonlinear systems / S. Roy Choudhury, L. Margarella and J. Scanlon -- A nonlinear stability analysis of a prototype model for Rayleigh-B�enard convection in planetary atmospheres / D.J. Wollkind and L. Zhang -- A nonlinear stability analysis of a prototype model for one-layer B�enard-Marnagoni convection with a deformable interface / D.J. Wollkind, L. Zhang and L.E. Stephenson -- Weakly and strongly nonlinear stability analyses for convection systems / D.N. Riahi -- Nonlinear gravity waves on the surface of an arbitrary shear flow with variable depth / R.S. Johnson -- Asymptotic methods in soliton stability theory / D.E. Pelinovsky and R.H. Grimshaw.
Subject	FLUID DYNAMICS. NONLINEAR THEORIES. Stability. Fluides, Dynamique des. Th�eories non lin�eaires.