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100   $a20140903h19851985  uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aAttractors representing turbulent flows /$fP. Constantin, C. Foias?, and R. Temam
210  1$aProvidence, Rhode Island, United States :$cAmerican Mathematical Society,$d1985.
210  4$dİ1985
215   $a1 online resource (79 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 53, Number 314
300   $a"January 1985, Volume 53, Number 314 (first of 5 numbers)"--Cover.
311   $a0-8218-2315-9 
320   $aIncludes bibliographical references.
327   $a""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER 1 a??? 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 a??? 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 a??? HAUSDORFF AND FRACTAL DIMENSIONS OF AN ATTRACTOR""; ""3.1. The Hausdorff dimension""; ""3.2. Covering Lemmas""
327   $a""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 a??? 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""
327   $a""4.3.d. A Reynold number based on the enstrophy""""4.4. Other aspects of the finite dimensionality of 3-D turbulent flows""; ""4.5. Consequences of the Lieb-Thirring's inequality""; ""REFERENCES""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 53, Number 314.
606   $aTurbulence
606   $aNavier-Stokes equations
608   $aElectronic books.
615  0$aTurbulence.
615  0$aNavier-Stokes equations.
676   $a532/.0527
700   $aConstantin$b P$g(Peter),$f1951-$0988340
702   $aFoias?$b Ciprian
702   $aTemam$b Roger
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480748903321
996   $aAttractors representing turbulent flows$92260073
997   $aUNINA