Attractors representing turbulent flows

Attractors representing turbulent flows

by Constantin, P., (Peter)

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Title Statements

  • Full title :Attractors representing turbulent flows / P. Constantin, C. Foiaş, and R. Temam.

Edition Statements

  • Publication Date:©1985

Publication Statements

Notes

"January 1985, Volume 53, Number 314 (first of 5 numbers)"--Cover.

The Physical Object

  • Description:1 online resource (79 pages)

Edition Identifiers

  • ISBN:9781470407278, 1470407272
  • oclc:on1097162069
  • LC Classification:QA3
  • Dewey Decimal:532/.0527

Table of Contents

""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER 1 � ON THE APPEARANCE OF SINGULARITIES IN A THREE DIMENSIONAL FLOW""; ""1.1. The functional setting of the Navier-Stokes Equations""; ""1.2. The initial value problem""; ""1.3. The main resul (of Chapter 1)""; ""CHAPTER 2 � THE SQUEEZING PROPERTY FOR THE TRAJECTORIES""; ""2.1. Quotient of norms""; ""2.2. The squeezing property""; ""2.3. An application of the squeezing : image of a ball""; ""CHAPTER 3 � HAUSDORFF AND FRACTAL DIMENSIONS OF AN ATTRACTOR""; ""3.1. The Hausdorff dimension""; ""3.2. Covering Lemmas""

""3.3. Proof of Theorem 3.1""""3.4. The fractal dimension""; ""3.5. Lyapunov exponents and Lyapunov numbers""; ""3.6. Application to evolution equations""; ""CHAPTER 4 � NUMBER OF DEGREES OF FREEDOM OF A THREE DIMENSIONAL FLOW""; ""4.1. Attractors for three dimensional flows""; ""4.2. Estimate of the fractal dimension of an attractor""; ""4.3. Explicit values of the bound of the dimension""; ""4.3.a. Estimate of the number of degrees of freedom in term of the Kolmogorov dissipation length""; ""4.3.b. Estimate in term of a Reynolds number""; ""4.3.c. Another Reynold number""

""4.3.d. A Reynold number based on the e…

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Subjects

Équations de Navier-Stokes Navier-Stokes equations Turbulence

Writers

Constantin, P., (Peter) Foiaş, Ciprian Temam, Roger

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