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[null,"1.","Record Nr.",null,"UNINA9910811644203321"]
[null,null,"Autore",null,"Constantin P (Peter), <1951->"]
[null,null,"Titolo",null,"Attractors representing turbulent flows / / P. Constantin, C. Foiaş, and R. Temam"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island, United States : , : American Mathematical Society, , 1985"]
[{"$nulls":4},"©1985"]
[null,null,"ISBN",null,"1-4704-0727-2"]
[null,null,"Descrizione fisica",null,"1 online resource (79 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 53, Number 314"]
[null,null,"Disciplina",null,"532/.0527"]
[null,null,"Soggetti",null,"Turbulence"]
[{"$nulls":4},"Navier-Stokes equations"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"January 1985, Volume 53, Number 314 (first of 5 numbers)\"--Cover."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"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\"\""]
[{"$nulls":4},"\"\"3.3. Proof of Theorem 3.1\"\"\"\"3.4. The fractal dimension\"\"; \"\"3.5. Lyapunov exponents and Lyapunov numbers\"\"; \"\"3.6. Application to evolution equations\"\"; \"\"CHAPTER 4 â€? NUMBER OF DEGREES OF FREEDOM OF A THREE DIMENSIONAL FLOW\"\"; \"\"4.1. Attractors for three dimensional flows\"\"; \"\"4.2. Estimate of the fractal dimension of an attractor\"\"; \"\"4.3. Explicit values of the bound of the dimension\"\"; \"\"4.3.a. Estimate of the number of degrees of freedom in term of the Kolmogorov dissipation length\"\"; \"\"4.3.b. Estimate in term of a Reynolds number\"\"; \"\"4.3.c. Another Reynold number\"\""]
[{"$nulls":4},"\"\"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\"\""]