Le Spitzberg et la Sibérie du nord / V. Romanovsky ; préface de Emmanuel de Martonne

• Record Nr.: UNINA990008231590403321
• Autore: Romanovsky, Vsevolod
• Pubbl/distr/stampa: Paris : Payot, 1943
• Descrizione fisica: 200 p. : ill. ; 23 cm
• Collana: Bibliothèque géographique
• Locazione: ILFGE
• Collocazione: KI-02-035
• Lingua di pubblicazione: Francese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia

Attractors representing turbulent flows / / P. Constantin, C. Foiaş, and R. Temam

• Record Nr.: UNINA9910811644203321
• Autore: Constantin P (Peter), <1951->
• Pubbl/distr/stampa: Providence, Rhode Island, United States : , : American Mathematical Society, , 1985; ©1985
• ISBN: 1-4704-0727-2
• Descrizione fisica: 1 online resource (79 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 53, Number 314
• Disciplina: 532/.0527
• Soggetti: Turbulence; Navier-Stokes equations
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• 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 â€? 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 â€? 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 â€? 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 â€? 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""