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Fundamental Directions in Mathematical Fluid Mechanics Giovanni P. Galdi Editor
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Fundamental Directions in Mathematical Fluid Mechanics Giovanni P. Galdi Editor - new book

ISBN: 9783034895613

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

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Fundamental Directions in Mathematical Fluid Mechanics - Galdi, Giovanni P. (Herausgeber); Rannacher, Rolf (Herausgeber); Heywood, John G. (Herausgeber)
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Galdi, Giovanni P. (Herausgeber); Rannacher, Rolf (Herausgeber); Heywood, John G. (Herausgeber):

Fundamental Directions in Mathematical Fluid Mechanics - Paperback

2012, ISBN: 3034895615

Softcover reprint of the original 1st ed. 2000 Kartoniert / Broschiert Klassische Mechanik, Mathematische Physik, Boundaryvalueproblem; fluiddynamics; Navier-Stokesequation; Navier-Stok… More...

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

ISBN: 9783034895613

Paperback / softback. 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 … More...

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

ISBN: 3034895615

[ED: Taschenbuch], [PU: Springer Basel], DE, [SC: 5.00], wie neu, privates Angebot, 235x155 mm, 293, [GW: 468g], PayPal, Selbstabholung und Barzahlung, Expédition internationale, [CT: Nat… More...

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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 - Paperback

2012, ISBN: 9783034895613

Buch, Softcover, Softcover reprint of the original 1st ed. 2000, [PU: Springer Basel], Springer Basel, 2012

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Fundamental Directions in Mathematical Fluid Mechanics Giovanni P. Galdi Editor
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Title:
ISBN:

9783034895613


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.

Details of the book - Fundamental Directions in Mathematical Fluid Mechanics Giovanni P. Galdi Editor


EAN (ISBN-13): 9783034895613
ISBN (ISBN-10): 3034895615
Paperback
Publishing year: 2000
Publisher: Birkhäuser Basel Core >1

Book in our database since 2014-02-10T21:41:08+00:00 (London)
Detail page last modified on 2024-03-03T18:17:03+00:00 (London)
ISBN/EAN: 9783034895613

ISBN - alternate spelling:
3-0348-9561-5, 978-3-0348-9561-3
Alternate spelling and related search-keywords:
Book author: rannacher, malcolm, hey, john giovanni, galdi, john gal
Book title: fluid mechanics, galdi

Information from Publisher

Author: Giovanni P. Galdi; John G. Heywood; Rolf Rannacher
Title: Advances in Mathematical Fluid Mechanics; Fundamental Directions in Mathematical Fluid Mechanics
Publisher: Birkhäuser; Springer Basel
293 Pages
Publishing year: 2012-10-14
Basel; CH
Printed / Made in
Language: English
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
POD
VIII, 293 p.

BC; 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; Analysis; Mathematical Physics; Classical Mechanics; Mathematische Physik; Klassische Mechanik; BB; 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 viscousflow.- 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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