Attractors representing turbulent flows / / P. Constantin, C. Foiaş, and R. Temam
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Autore: |
Constantin P (Peter), <1951->
|
| Titolo: |
Attractors representing turbulent flows / / P. Constantin, C. Foiaş, and R. Temam
|
| Pubblicazione: | Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 |
| ©1985 | |
| Descrizione fisica: | 1 online resource (79 p.) |
| Disciplina: | 532/.0527 |
| Soggetto topico: | Turbulence |
| Navier-Stokes equations | |
| Soggetto genere / forma: | Electronic books. |
| Persona (resp. second.): | FoiaşCiprian |
| TemamRoger | |
| Note generali: | "January 1985, Volume 53, Number 314 (first of 5 numbers)"--Cover. |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""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 enstrophy""""4.4. Other aspects of the finite dimensionality of 3-D turbulent flows""; ""4.5. Consequences of the Lieb-Thirring's inequality""; ""REFERENCES"" | |
| Titolo autorizzato: | Attractors representing turbulent flows |
| ISBN: | 1-4704-0727-2 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480748903321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 53, Number 314.