Defect-mediated stability: An effective hydrodynamic theory of spatiotemporal chaos

DOI10.1016/0167-2789(95)00072-CzbMath0899.76302arXivcond-mat/9412041OpenAlexW3103122390MaRDI QIDQ1892692

Carson C. Chow, Terence Hwa

Publication date: 19 June 1995

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9412041

zbMATH Keywords

Kuramoto-Sivashinsky equationcoarse-graining procedurebare parameterseffective stochastic equationspace-time defects

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Basic methods in fluid mechanics (76M99) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (3)

A particle model for the Kuramoto-Sivashinsky equation ⋮ Phase turbulence in the two-dimensional complex Ginzburg-Landau equation ⋮ A bound on the decay of defect-defect correlation functions in two-dimensional complex order parameter equations

Cites Work

• The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
• Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces
• A stochastic model for the large scale dynamics of some fluctuating interfaces
• Amplitude Equations for Systems with Competing Instabilities
• Dynamic Scaling of Growing Interfaces
• Viscoelastic behaviour of cellular solutions to the Kuramoto-Sivashinsky model
• Chaos in models of double convection
• Pattern formation outside of equilibrium

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