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Empirical Eigenfunctions and Low Dimensional Systems

  • Lawrence Sirovich
Conference paper

Abstract

In the course of this lecture I hope to cover a wide and diverse range of topics which are relevant to the study of near chaotic, chaotic and turbulent flows. A thread which joins these topics is the Karhunen-Loève (K-L) procedure for the generation of the empirical eigenfunctions. Lumley introduced this procedure into turbulence theory1 and suggested that it might be used to unambiguously extract coherent structures in a turbulent flow. This idea will be one of the topics to be touched on later.

Keywords

Nusselt Number Coherent Structure Ginzburg Landau Equation Inertial Manifold High Rayleigh Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1991

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  • Lawrence Sirovich

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