Coherent structures in random media and wavelets

DOI10.1016/0167-2789(92)90147-FzbMath0787.76035OpenAlexW2090979064MaRDI QIDQ1312567

Gal Berkooz, Juan Elezgaray, Philip J. Holmes

Publication date: 16 May 1994

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

Full work available at URL: https://doi.org/10.1016/0167-2789(92)90147-f

zbMATH Keywords

proper orthogonal decompositionKuramoto-Sivashinsky equationGalerkin projectionstochastic fieldKarhunen-Loève basis

Mathematics Subject Classification ID

Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems approach to turbulence (76F20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (4)

Wavelet projections of the Kuramoto-Sivashinsky equation. I: Heteroclinic cycles and modulated traveling waves for short systems ⋮ Local models of spatio-temporally complex fields ⋮ \(\alpha \) regularization of the POD-Galerkin dynamical systems of the Kuramoto-Sivashinsky equation ⋮ Computation of decaying turbulence in an adaptive wavelet basis

Cites Work

• Low-dimensional dynamics for the complex Ginzburg-Landau equation
• The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
• A stochastic model for the large scale dynamics of some fluctuating interfaces
• Wavelets with exponential localization
• Macroscopic modelling of turbulent flows. Proceedings of a Workshop Held at INRIA, Sophia-Antipolis, France, December 10-14, 1984
• The dynamics of coherent structures in the wall region of a turbulent boundary layer
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)

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