Remarks on nonlinear Galerkin method for Kuramoto-Sivashinsky equation

DOI10.1007/BF00189292zbMath0899.76255MaRDI QIDQ1387581

Yu-Jiang Wu

Publication date: 7 June 1998

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

convergenceerror estimatesperiodic boundary conditioninfinite-dimensional dynamical systemssmall-scale components

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Shear flows and turbulence (76F10) Finite element methods applied to problems in fluid mechanics (76M10)

Cites Work

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• Asymptotic analysis of the Navier-Stokes equations
• Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
• Infinite-dimensional dynamical systems in mechanics and physics
• Modelling of the interaction of small and large eddies in two dimensional turbulent flows
• Induced trajectories and approximate inertial manifolds
• Fully discrete nonlinear galerkin methods for Kuramoto-Sivashinsky equation and their error estimates
• Nonlinear Galerkin Methods
• Long time stability and convergence for fully discrete nonlinear galerkin methods

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