A diagrammatic derivation of (convective) pattern equations
From MaRDI portal
Publication:622345
DOI10.1016/j.physd.2010.08.009zbMath1372.76097OpenAlexW2047053077MaRDI QIDQ622345
Publication date: 31 January 2011
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2010.08.009
Feynman diagramsSwift-Hohenberg equationpattern theoryBogoliubov methodpattern diagramsweakly nonlinear convection
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Reaction-diffusion equations (35K57) Free convection (76R10) Convection in hydrodynamic stability (76E06) Pattern formations in context of PDEs (35B36)
Related Items (1)
Cites Work
- Formulation of the theory of turbulence in an incompressible fluid
- Snaking of radial solutions of the multi-dimensional Swift-Hohenberg equation: a numerical study
- Applications of centre manifold theory
- The world of the complex Ginzburg-Landau equation
- Amplitude Equations for Systems with Competing Instabilities
- From global scaling, à la Kolmogorov, to local multifractal scaling in fully developed turbulence
- Pattern Formation
- Pattern Formation and Dynamics in Nonequilibrium Systems
- Localized Hexagon Patterns of the Planar Swift–Hohenberg Equation
- Derivation of the amplitude equation at the Rayleigh–Bènard instability
- Mode−mode coupling theory of the heat convection threshold
- Classical Dynamics
- Recent Developments in Rayleigh-Bénard Convection
- Finite amplitude convection between stress-free boundaries; Ginzburg–Landau equations and modulation theory
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- Energy transfer between external and internal gravity waves
- On the stability of steady finite amplitude convection
- Pattern formation outside of equilibrium
- The Propagation of Nonlinear Wave Envelopes
- Distant side-walls cause slow amplitude modulation of cellular convection
- Finite bandwidth, finite amplitude convection
- Complexity from thermal instability
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A diagrammatic derivation of (convective) pattern equations