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9783034896061: Contributions to Current Challenges in Mathematical Fluid Mechanics

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ISBN 10 : 3034896069 ISBN 13 : 9783034896061

Editeur : Birkh�user, 2012

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The mathematical theory of the Navier-Stokes equations presents fundamental open questions that represent many challenges for the interested mathematicians. This volume contains a series of articles whose objective is to furnish new contributions and ideas to these questions, with particular regard to turbulence modelling, regularity of solutions to the initial-value problem, flow in region with an unbounded boundary, and compressible flow.

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�diteur: Birkh�user
Date d'�dition: 2012
Langue: anglais
ISBN 10: 3034896069
ISBN 13: 9783034896061
Reliure: Broch�
Nombre de pages: 164
�diteur: Galdi Giovanni P., Heywood John G., Rannacher Rolf
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Contributions to Current Challenges in Mathematical Fluid Mechanics (eng)

Galdi, Giovanni P.

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P. Galdi, Giovanni

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Contributions to Current Challenges in Mathematical Fluid Mechanics

Giovanni P. Galdi

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This volume consists of five research articles, each dedicated to a significant topic in the mathematical theory of the Navier-Stokes equations, for compressible and incompressible fluids, and to related questions. All results given here are new and represent a noticeable contribution to the subject. One of the most famous predictions of the Kolmogorov theory of turbulence is the so-called Kolmogorov-obukhov five-thirds law. As is known, this law is heuristic and, to date, there is no rigorous justification. The article of A. Biryuk deals with the Cauchy problem for a multi-dimensional Burgers equation with periodic boundary conditions. Estimates in suitable norms for the corresponding solutions are derived for 'large' Reynolds numbers, and their relation with the Kolmogorov-Obukhov law are discussed. Similar estimates are also obtained for the Navier-Stokes equation. In the late sixties J. L. Lions introduced a 'perturbation' of the Navier Stokes equations in which he added in the linear momentum equation the hyper dissipative term (-Ll),Bu, f3 ~ 5/4, where Ll is the Laplace operator. This term is referred to as an 'artificial' viscosity. Even though it is not physically moti vated, artificial viscosity has proved a useful device in numerical simulations of the Navier-Stokes equations at high Reynolds numbers. The paper of of D. Chae and J. Lee investigates the global well-posedness of a modification of the Navier Stokes equation similar to that introduced by Lions, but where now the original dissipative term -Llu is replaced by (-Ll)O:u, 0 S Ct 5/4. 164 pp. Englisch. N� de r�f. du vendeur 9783034896061

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Contributions to Current Challenges in Mathematical Fluid Mechanics

. Ed(s): Galdi, Giovanni P.; Heywood, John G.; Rannacher, Rolf

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Etat : New. Editor(s): Galdi, Giovanni P.; Heywood, John G.; Rannacher, Rolf. Series: Advances in Mathematical Fluid Mechanics. Num Pages: 160 pages, 1 black & white illustrations. BIC Classification: WM. Category: (G) General (US: Trade). Dimension: 235 x 155 x 8. Weight in Grams: 260. . 2012. Softcover reprint of the original 1st ed. 2004. paperback. . . . . N� de r�f. du vendeur V9783034896061

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Contributions to Current Challenges in Mathematical Fluid Mechanics

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Contributions to Current Challenges in Mathematical Fluid Mechanics

Galdi, Giovanni P.|Heywood, John G.|Rannacher, Rolf

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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Covers a wide range of hot topics in the mathematical theory of the Navier-Stokes equationsThis volume consists of five research articles, each dedicated to a significant topic in the mathematical theory of the Navier-Stokes equations, for compre. N� de r�f. du vendeur 4319419

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Contributions to Current Challenges in Mathematical Fluid Mechanics

Giovanni P. Galdi

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -The mathematical theory of the Navier-Stokes equations presents fundamental open questions that represent many challenges for the interested mathematicians. This volume contains a series of articles whose objective is to furnish new contributions and ideas to these questions, with particular regard to turbulence modelling, regularity of solutions to the initial-value problem, flow in region with an unbounded boundary, and compressible flow.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 164 pp. Englisch. N� de r�f. du vendeur 9783034896061

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Contributions to Current Challenges in Mathematical Fluid Mechanics

Giovanni P. Galdi

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume consists of five research articles, each dedicated to a significant topic in the mathematical theory of the Navier-Stokes equations, for compressible and incompressible fluids, and to related questions. All results given here are new and represent a noticeable contribution to the subject. One of the most famous predictions of the Kolmogorov theory of turbulence is the so-called Kolmogorov-obukhov five-thirds law. As is known, this law is heuristic and, to date, there is no rigorous justification. The article of A. Biryuk deals with the Cauchy problem for a multi-dimensional Burgers equation with periodic boundary conditions. Estimates in suitable norms for the corresponding solutions are derived for 'large' Reynolds numbers, and their relation with the Kolmogorov-Obukhov law are discussed. Similar estimates are also obtained for the Navier-Stokes equation. In the late sixties J. L. Lions introduced a 'perturbation' of the Navier Stokes equations in which he added in the linear momentum equation the hyper dissipative term (-Ll),Bu, f3 ~ 5/4, where Ll is the Laplace operator. This term is referred to as an 'artificial' viscosity. Even though it is not physically moti vated, artificial viscosity has proved a useful device in numerical simulations of the Navier-Stokes equations at high Reynolds numbers. The paper of of D. Chae and J. Lee investigates the global well-posedness of a modification of the Navier Stokes equation similar to that introduced by Lions, but where now the original dissipative term -Llu is replaced by (-Ll)O:u, 0 S Ct 5/4. N� de r�f. du vendeur 9783034896061

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Contributions to Current Challenges in Mathematical Fluid Mechanics (Advances in Mathematical Fluid Mechanics)

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