Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Attractors representing turbulent flows / / P. Constantin, C. Foiaş, and R. Temam
| Attractors representing turbulent flows / / P. Constantin, C. Foiaş, and R. Temam |
| Autore | Constantin P (Peter), <1951-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina | 532/.0527 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Turbulence
Navier-Stokes equations |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0727-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480748903321 |
Constantin P (Peter), <1951->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Attractors representing turbulent flows / / P. Constantin, C. Foiaş, and R. Temam
| Attractors representing turbulent flows / / P. Constantin, C. Foiaş, and R. Temam |
| Autore | Constantin P (Peter), <1951-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina | 532/.0527 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Turbulence
Navier-Stokes equations |
| ISBN | 1-4704-0727-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788888803321 |
|
Constantin P (Peter), <1951->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Attractors representing turbulent flows / / P. Constantin, C. Foiaş, and R. Temam
| Attractors representing turbulent flows / / P. Constantin, C. Foiaş, and R. Temam |
| Autore | Constantin P (Peter), <1951-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina | 532/.0527 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Turbulence
Navier-Stokes equations |
| ISBN | 1-4704-0727-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910811644203321 |
|
Constantin P (Peter), <1951->
|
||
| Providence, Rhode Island, United States : , : American Mathematical Society, , 1985 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The connection between infinite dimensional and finite dimensional dynamical systems : proceedings of the AMS-IMS-SIAM joint summer research conference held July 19-25, 1987, with support from the National Science Foundation and the Air Force Office of Scientific Research / / Basil Nicolaenko, Ciprian Foias, Roger Temam, editors
| The connection between infinite dimensional and finite dimensional dynamical systems : proceedings of the AMS-IMS-SIAM joint summer research conference held July 19-25, 1987, with support from the National Science Foundation and the Air Force Office of Scientific Research / / Basil Nicolaenko, Ciprian Foias, Roger Temam, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1989] |
| Descrizione fisica | 1 online resource (380 p.) |
| Disciplina | 515/.352 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differentiable dynamical systems
Differential equations, Parabolic Nonlinear theories Fluid mechanics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7687-2
0-8218-5432-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Dynamical systems in infinite dimension""; ""A construction of inertial manifolds""; ""Analytic structure of dynamical systems""; ""Hausdorff and Lyapunov dimensions for gradient systems""; ""Persistent heteroclinic orbits""; ""Orientation of saddle connections for a reaction diffusion equation""; ""Finite dimensionality in the complex Ginzburg-Landau equation""; ""Periodic dynamical system with application to Sine-Gordon equations: Estimates on the fractal dimension of the universal attractor""; ""Inertial manifolds for models of compressible gas dynamics""
""A model of double-diffusive convection with periodic boundary conditions""""Controversies concerning finite/infinite sequences of fluid corner vortices"" |
| Record Nr. | UNINA-9910480340103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1989] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The connection between infinite dimensional and finite dimensional dynamical systems : proceedings of the AMS-IMS-SIAM joint summer research conference held July 19-25, 1987, with support from the National Science Foundation and the Air Force Office of Scientific Research / / Basil Nicolaenko, Ciprian Foias, Roger Temam, editors
| The connection between infinite dimensional and finite dimensional dynamical systems : proceedings of the AMS-IMS-SIAM joint summer research conference held July 19-25, 1987, with support from the National Science Foundation and the Air Force Office of Scientific Research / / Basil Nicolaenko, Ciprian Foias, Roger Temam, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1989] |
| Descrizione fisica | 1 online resource (380 p.) |
| Disciplina | 515/.352 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differentiable dynamical systems
Differential equations, Parabolic Nonlinear theories Fluid mechanics |
| ISBN |
0-8218-7687-2
0-8218-5432-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Dynamical systems in infinite dimension""; ""A construction of inertial manifolds""; ""Analytic structure of dynamical systems""; ""Hausdorff and Lyapunov dimensions for gradient systems""; ""Persistent heteroclinic orbits""; ""Orientation of saddle connections for a reaction diffusion equation""; ""Finite dimensionality in the complex Ginzburg-Landau equation""; ""Periodic dynamical system with application to Sine-Gordon equations: Estimates on the fractal dimension of the universal attractor""; ""Inertial manifolds for models of compressible gas dynamics""
""A model of double-diffusive convection with periodic boundary conditions""""Controversies concerning finite/infinite sequences of fluid corner vortices"" |
| Record Nr. | UNINA-9910788789003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1989] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The connection between infinite dimensional and finite dimensional dynamical systems : proceedings of the AMS-IMS-SIAM joint summer research conference held July 19-25, 1987, with support from the National Science Foundation and the Air Force Office of Scientific Research / / Basil Nicolaenko, Ciprian Foias, Roger Temam, editors
| The connection between infinite dimensional and finite dimensional dynamical systems : proceedings of the AMS-IMS-SIAM joint summer research conference held July 19-25, 1987, with support from the National Science Foundation and the Air Force Office of Scientific Research / / Basil Nicolaenko, Ciprian Foias, Roger Temam, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1989] |
| Descrizione fisica | 1 online resource (380 p.) |
| Disciplina | 515/.352 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Differentiable dynamical systems
Differential equations, Parabolic Nonlinear theories Fluid mechanics |
| ISBN |
0-8218-7687-2
0-8218-5432-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Dynamical systems in infinite dimension""; ""A construction of inertial manifolds""; ""Analytic structure of dynamical systems""; ""Hausdorff and Lyapunov dimensions for gradient systems""; ""Persistent heteroclinic orbits""; ""Orientation of saddle connections for a reaction diffusion equation""; ""Finite dimensionality in the complex Ginzburg-Landau equation""; ""Periodic dynamical system with application to Sine-Gordon equations: Estimates on the fractal dimension of the universal attractor""; ""Inertial manifolds for models of compressible gas dynamics""
""A model of double-diffusive convection with periodic boundary conditions""""Controversies concerning finite/infinite sequences of fluid corner vortices"" |
| Record Nr. | UNINA-9910828513103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1989] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
H∞-control theory : lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Como, Italy, June 18 - 26, 1990 / / C. Foias [and four others]
| H∞-control theory : lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Como, Italy, June 18 - 26, 1990 / / C. Foias [and four others] |
| Autore | Foiaş Ciprian |
| Edizione | [1st ed. 1991.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1991] |
| Descrizione fisica | 1 online resource (VIII, 328 p.) |
| Disciplina | 629.8312 |
| Altri autori (Persone) |
FoiaşCiprian
MoscaEdoardo PandolfiL (Luciano) |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico | Control theory |
| ISBN | 3-540-46604-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Commutant lifting techniques for computing optimal H? controllers -- Lectures on H ? control and sampled-data systems -- Two topics in systems engineering: Frequency domain design and nonlinear systems -- The polynomial approach to H ?-optimal regulation -- Notes on l 1-optimal control -- On the hamiltonian structure in the computation of singular values for a class of Hankel operators -- Nehari interpolation problem for rational matrix functions: The generic case -- Time variant extension problems of Nehari type and the band method. |
| Record Nr. | UNISA-996466756103316 |
|
Foiaş Ciprian
|
||
| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1991] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Navier-Stokes equations and turbulence / / C. Foias [and three others] [[electronic resource]]
| Navier-Stokes equations and turbulence / / C. Foias [and three others] [[electronic resource]] |
| Autore | Foiaş Ciprian |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2001 |
| Descrizione fisica | 1 online resource (xiv, 347 pages) : digital, PDF file(s) |
| Disciplina | 532/.0527 |
| Altri autori (Persone) | FoiaşCiprian |
| Collana | Encyclopedia of mathematics and its applications |
| Soggetto topico |
Turbulence
Navier-Stokes equations |
| ISBN |
1-107-11154-4
1-280-41654-8 9786610416547 0-511-17438-1 0-511-03936-0 0-511-15422-4 0-511-32829-X 0-511-54675-0 0-511-05242-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction and Overview of Turbulence -- Viscous Fluids. The Navier-Stokes Equations -- Turbulence: Where the Interests of Engineers and Mathematicians Overlap -- Elements of the Theories of Turbulence of Kolmogorov and Kraichnan -- Function Spaces, Functional Inequalities, and Dimensional Analysis -- Elements of the Mathematical Theory of the Navier-Stokes Equations -- Energy and Enstrophy -- Boundary Value Problems -- Helmholtz-Leray Decomposition of Vector Fields -- Weak Formulation of the Navier-Stokes Equations -- Function Spaces -- The Stokes Operator -- Existence and Uniqueness of Solutions: The Main Results -- Analyticity in Time -- Gevrey Class Regularity and the Decay of the Fourier Coefficients -- Function Spaces for the Whole-Space Case -- The No-Slip Case with Moving Boundaries -- Dissipation Rate of Flows -- Nondimensional Estimates and the Grashof Number -- Mathematical Complements -- Proofs of Technical Results in Chapter II -- Finite Dimensionality of Flows -- Determining Modes -- Determining Nodes -- Attractors and Their Fractal Dimension -- Approximate Inertial Manifolds -- Proofs of Technical Results in Chapter III -- Stationary Statistical Solutions of the Navier-Stokes Equations, Time Averages, and Attractors -- Mathematical Framework, Definition of Stationary Statistical Solutions, and Banach Generalized Limits -- Invariant Measures and Stationary Statistical Solutions in Dimension 2 -- Stationary Statistical Solutions in Dimension 3 -- Attractors and Stationary Statistical Solutions. |
| Altri titoli varianti | Navier-Stokes Equations & Turbulence |
| Record Nr. | UNINA-9910782950303321 |
|
Foiaş Ciprian
|
||
| Cambridge : , : Cambridge University Press, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||