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Fundamental Directions in Mathematical Fluid Mechanics - Giovanni P. Galdi
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Giovanni P. Galdi:

Fundamental Directions in Mathematical Fluid Mechanics - gebunden oder broschiert

2000, ISBN: 3764364149

[EAN: 9783764364144], Nouveau livre, [SC: 10.99], [PU: Birkhäuser Basel], BOUNDARYVALUEPROBLEM; FLUIDDYNAMICS; NAVIER-STOKESEQUATION; NAVIER-STOKESEQUATIONS; FINITEELEMENTMETHOD; FLUIDGEO… Mehr…

NEW BOOK. Versandkosten: EUR 10.99 AHA-BUCH GmbH, Einbeck, Germany [51283250] [Note: 5 (sur 5)]
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Fundamental Directions in Mathematical Fluid Mechanics by Giovanni P. Galdi Hardcover | Indigo Chapters - neues Buch

ISBN: 9783764364144

This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putt… Mehr…

new in stock. Versandkosten:zzgl. Versandkosten.
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Fundamental Directions in Mathematical Fluid Mechanics
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Fundamental Directions in Mathematical Fluid Mechanics - neues Buch

ISBN: 9783764364144

This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putt… Mehr…

Nr. 978-3-7643-6414-4. Versandkosten:Worldwide free shipping, , zzgl. Versandkosten.
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Giovanni P. Galdi:
Fundamental Directions in Mathematical Fluid Mechanics - gebunden oder broschiert

ISBN: 9783764364144

Hardback. New. This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. At that time it was decided that… Mehr…

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Fundamental Directions in Mathematical Fluid Mechanics - Giovanni P. Galdi; John G. Heywood; Rolf Rannacher
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Giovanni P. Galdi; John G. Heywood; Rolf Rannacher:
Fundamental Directions in Mathematical Fluid Mechanics - Erstausgabe

2000, ISBN: 9783764364144

Gebundene Ausgabe

Buch, Hardcover, 2000, [PU: Springer Basel], [ED: 1], Springer Basel, 2000

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Details zum Buch
Fundamental Directions in Mathematical Fluid Mechanics

This set of six papers, written by eminent experts in the field, is concerned with that part of fluid mechanics that seeks its foundation in the rigorous mathematical treatment of the Navier-Stokes equations. In particular, an overview is given on state of research regarding the global existence of smooth solutions, for which uniqueness and continuous dependence on the data can be proven. Then, the book moves on to a discussion of recent developments of the finite element Galerkin method, with an emphasis on a priori and a posteriori error estimation and adaptive mesh refinement. A further article elaborates on spectral Galerkin methods and their extension to domains with complicated geometries by employing the techniques of domain decomposition. The rigorous explanation of bifurcation phenomena in fluids has long been a central topic in the theory of Navier-Stokes equations. Here, bifurcation theory is introduced in a general setting that is particularly convenient for application to such problems. Finally, the extension of Navier-Stokes theory to compressible viscous flows, studied in two more papers, opens up a fascinating panorama of theoretical and numerical problems. While some of the contributions are expository, others primarily present new results within a wider context and fuller exposition than is usual for research papers. The book is meant to introduce researchers and advanced students to the research level on some of the most important topics of the field.

Detailangaben zum Buch - Fundamental Directions in Mathematical Fluid Mechanics


EAN (ISBN-13): 9783764364144
ISBN (ISBN-10): 3764364149
Gebundene Ausgabe
Erscheinungsjahr: 2000
Herausgeber: Springer Basel
304 Seiten
Gewicht: 0,699 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2007-11-01T16:05:00+01:00 (Vienna)
Detailseite zuletzt geändert am 2023-12-08T22:03:04+01:00 (Vienna)
ISBN/EAN: 3764364149

ISBN - alternative Schreibweisen:
3-7643-6414-9, 978-3-7643-6414-4
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: rannacher, galdi, john giovanni
Titel des Buches: mathematical, fluid mechanics, fundamental


Daten vom Verlag:

Autor/in: Giovanni P. Galdi; John G. Heywood; Rolf Rannacher
Titel: Advances in Mathematical Fluid Mechanics; Fundamental Directions in Mathematical Fluid Mechanics
Verlag: Birkhäuser; Springer Basel
293 Seiten
Erscheinungsjahr: 2000-09-01
Basel; CH
Gewicht: 0,703 kg
Sprache: Englisch
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
VIII, 293 p.

BB; Analysis; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Boundary value problem; Fluid dynamics; Navier-Stokes equation; Navier-Stokes equations; finite element method; fluid mechanics; geometry; mechanics; Mathematical Physics; Classical Mechanics; Analysis; Mathematical Physics; Classical Mechanics; Mathematische Physik; Klassische Mechanik; BC; EA

An Introduction to the Navier-Stokes Initial-Boundary Value Problem.- 0 Introduction.- 1 Some considerations on the structure of the Navier-Stokes equations.- 2 The Leray-Hopf weak solutions and related properties.- 3 Existence of weak solutions.- 4 The energy equality and uniqueness of weak solutions.- 5 Regularity of weak solutions.- 6 More regular solutions and the “théorème de structure”.- 7 Existence in the class Lr (0,T; Ls(?), 2/r +n/s = 1, and further regularity properties.- References.- Spectral Approximation of Navier-Stokes Equations.- 1 Mathematical foundation and different paradigms of spectral methods.- 2 Stokes and Navier-Stokes equations.- 3 Time-differentiation of Navier Stokes equations.- 4 Domain decomposition methods.- 5 Numerical results.- References.- Simple Proofs of Bifurcation Theorems.- 1 Introduction.- 2 Bifurcation of equilibrium solutions.- 3 Bifurcation of periodic solutions.- 4 Generalizations.- Appendix A: Proof of Proposition 3.1.- References.- On The Steady Transport Equation.- 1 Introduction.- 2 Existence in W1,2 ? Lq for the scalar transport equation.- 3 Existence in W1,2 ? Lq for the scalar transport equation.- 4 Estimates for ???2,2, ???? and ?????1,2.- 5 Existence in Wm,2 (?), for any fixed m.- 6 Integration along characteristics.- References.- On the Existence and Uniqueness Theory for the Steady Compressible Viscous Flow.- 1 Introduction.- 2 Poisson-Stokes equations for isothermal flow.- 3 Main result.- 4 Iterative scheme.- 5 Regularity lemmas.- 6 Bounds for the iterates.- 7 Convergence of the iterates.- 8 Uniqueness in the ball of existence.- 9 Uniqueness reconsidered directly.- References.- Finite Element Methods for the Incompressible Navier-Stokes Equations.- 1 Introduction.- 2 Models of viscous flow.- 3 Spatial discretization by finite elements.- 4 Time discretization and linearization.- 5 Solution of the algebraic systems.- 6 A review of theoretical analysis.- 7 Error control and mesh adaptation.- 8 Extension to weakly compressible flows.- References.

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