Order parameter equations for long-wavelength instabilities

DOI10.1016/0167-2789(95)00090-QzbMath0899.76184OpenAlexW1990163590MaRDI QIDQ1896517

Alexander A. Nepomnhyashchy

Publication date: 29 August 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(95)00090-q

zbMATH Keywords

Ginzburg-Landau equationlarge-scale instability

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30)

Related Items

Planar, solitary, and spiral waves of the Burgers-CGL equations for flames governed by a sequential reaction, Long time behavior of solutions to coupled Burgers-complex Ginzbury-Landau (Burgers-CGL) equations for flames governed by sequential reaction, Global existence and attractors for the two-dimensional Burgers-Ginzburg- Landau equations, Integrable Hamiltonian systems with vector potentials, Analyticity and Gevrey class regularity for a Kuramoto-Sivashinsky equation in space dimension two, Three-dimensional oscillatory long-wave Marangoni convection in a binary liquid layer with the Soret effect: Bifurcation analysis, Solitons in Viscous Flows, The world of the complex Ginzburg-Landau equation, Coupled KS-CGL and coupled Burgers-CGL equations for flames governed by a sequential reaction, Stability of periodic waves generated by long-wavelength instabilities in isotropic and anisotropic systems, Effect of anisotropy on morphological instability in the freezing of a hypercooled melt, Configurational invariants of Hamiltonian systems

Cites Work

• Unnamed Item
• Pattern selection in long-wavelength convection
• Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces
• Hierarchy of bifurcations of space-periodic structures in a nonlinear model of active dissipative media
• The Eckhaus instability for traveling waves
• Laminarizing effects of dispersion in an active-dissipative nonlinear medium
• Approximate Equations for Long Nonlinear Waves on a Viscous Fluid
• Nonlinear convection in high vertical channels
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Dissipative Korteweg–de Vries description of Marangoni–Bénard oscillatory convection
• New types of long-wave oscillatory Marangonni instabilities in multilayer systems
• Nonlinear Rayleigh–Bénard convection between poorly conducting boundaries
• Distant side-walls cause slow amplitude modulation of cellular convection
• Finite bandwidth, finite amplitude convection
• A non-linear instability theory for a wave system in plane Poiseuille flow