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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 |
| 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-9910450054503321 |
Foiaş Ciprian
|
||
| Cambridge : , : Cambridge University Press, , 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| ||