Articoli correlati a Navier-Stokes Equations and Nonlinear Functional Analysis
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This second edition attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations.
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Contenuti
Preface to the second edition; Introduction; Part I. Questions Related to the Existence, Uniqueness and Regularity of Solutions: 1. Representation of a Flow: the Navier-Stokes Equations; 2. Functional Setting of the Equations; 3. Existence and Uniqueness Theorems (Mostly Classical Results); 4. New a priori Estimates and Applications; 5. Regularity and Fractional Dimension; 6. Successive Regularity and Compatibility Conditions at t=0 (Bounded Case); 7. Analyticity in Time; 8. Lagrangian Representation of the Flow; Part II. Questions Related to Stationary Solutions and Functional Invariant Sets (Attractors): 9. The Couette-Taylor Experiment; 10. Stationary Solutions of the Navier-Stokes Equations; 11. The Squeezing Property; 12. Hausdorff Dimension of an Attractor; Part III. Questions Related to the Numerical Approximation: 13. Finite Time Approximation; 14. Long Time Approximation of the Navier-Stokes Equations; Appendix. Inertial Manifolds and Navier-Stokes Equations; Comments and Bibliography; Comments and Bibliography; Update for the Second Edition; References.
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Book by Temam Roger
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Navier-Stokes Equations and Nonlinear Function Analysis
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Society for Industrial and Applied Mathematics, 1996
ISBN 10: 0898713404
ISBN 13: 9780898713404
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NavierStokes Equations and Non
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Navier-Stokes Equations and Nonlinear Function Analysis
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Society for Industrial and Applied Mathematics, 1996
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Paperback. Condizione: Good. This second edition, like the first, attempts to arrive as simply as possible at some central problems in the Navier Stokes equations in the following areas: existence, uniqueness, and regularity of solutions in space dimensions two and three; large time behaviour of solutions and attractors; and numerical analysis of the Navier Stokes equations. Codice articolo CIN0898713404G
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Navier-Stokes Equations and Nonlinear Functional Analysis
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ISBN 13: 9780898713404
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Paperback. Condizione: Very Good. Light sunning and curling to covers, crease in back cover, name on title page, otherwise text clean and tight; CBMS-NSF Regional Conference Series In Applied Mathematics, Series Number 66; 8vo 8" - 9" tall; 155 pages. Codice articolo 246698
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Navier-Stokes Equations and Nonlinear Function Analysis
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Paperback. Condizione: New. Second Edition. This second edition, like the first, attempts to arrive as simply as possible at some central problems in the Navier Stokes equations in the following areas: existence, uniqueness, and regularity of solutions in space dimensions two and three; large time behaviour of solutions and attractors; and numerical analysis of the Navier Stokes equations. Since publication of the first edition of these lectures in 1983, there has been extensive research in the area of inertial manifolds for Navier Stokes equations. These developments are addressed in a new section devoted entirely to inertial manifolds.Inertial manifolds were first introduced under this name in 1985 and, since then, have been systematically studied for partial differential equations of the Navier Stokes type. Inertial manifolds are a global version of central manifolds. When they exist they encompass the complete dynamics of a system, reducing the dynamics of an infinite system to that of a smooth, finite dimensional one called the inertial system. Although the theory of inertial manifolds for Navier Stokes equations is not complete at this time, there is already a very interesting and significant set of results which deserves to be known, in the hope that it will stimulate further research in this area. These results are reported in this edition.Part I presents the Navier Stokes equations of viscous incompressible fluids and the main boundary value problems usually associated with these equations. The case of the flow in a bounded domain with periodic or zero boundary conditions is studied and the functional setting of the equation as well as various results on existence, uniqueness, and regularity of time dependent solutions are given. Part II studies the behavior of solutions of the Navier Stokes equation when t approaches infinity and attempts to explain turbulence. Part III treats questions related to numerical approximation. In the Appendix, which is new to the second edition, concepts of inertial manifolds are described, definitions and some typical results are recalled, and the existence of inertial systems for two dimensional Navier Stokes equations is shown. Codice articolo LU-9780898713404
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Navier-Stokes Equations and Nonlinear Functional Analysis
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Navier-Stokes Equations and Nonlinear Functional Analysis
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Navier-Stokes Equations and Nonlinear Functional Analysis
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Navier-Stokes Equations and Nonlinear Function Analysis
Editore:
Society for Industrial and Applied Mathematics,U.S., US, 1996
ISBN 10: 0898713404
ISBN 13: 9780898713404
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Da: Rarewaves.com UK, London, Regno Unito
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: New. Second Edition. This second edition, like the first, attempts to arrive as simply as possible at some central problems in the Navier Stokes equations in the following areas: existence, uniqueness, and regularity of solutions in space dimensions two and three; large time behaviour of solutions and attractors; and numerical analysis of the Navier Stokes equations. Since publication of the first edition of these lectures in 1983, there has been extensive research in the area of inertial manifolds for Navier Stokes equations. These developments are addressed in a new section devoted entirely to inertial manifolds.Inertial manifolds were first introduced under this name in 1985 and, since then, have been systematically studied for partial differential equations of the Navier Stokes type. Inertial manifolds are a global version of central manifolds. When they exist they encompass the complete dynamics of a system, reducing the dynamics of an infinite system to that of a smooth, finite dimensional one called the inertial system. Although the theory of inertial manifolds for Navier Stokes equations is not complete at this time, there is already a very interesting and significant set of results which deserves to be known, in the hope that it will stimulate further research in this area. These results are reported in this edition.Part I presents the Navier Stokes equations of viscous incompressible fluids and the main boundary value problems usually associated with these equations. The case of the flow in a bounded domain with periodic or zero boundary conditions is studied and the functional setting of the equation as well as various results on existence, uniqueness, and regularity of time dependent solutions are given. Part II studies the behavior of solutions of the Navier Stokes equation when t approaches infinity and attempts to explain turbulence. Part III treats questions related to numerical approximation. In the Appendix, which is new to the second edition, concepts of inertial manifolds are described, definitions and some typical results are recalled, and the existence of inertial systems for two dimensional Navier Stokes equations is shown. Codice articolo LU-9780898713404
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