Hydrodynamic stability theory: Analysis): 9 - Brossura

Georgescu, A.

 
9789048182893: Hydrodynamic stability theory: Analysis): 9
Brossura
ISBN 10: 9048182891 ISBN 13: 9789048182893
Casa editrice: Springer, 2010

Sinossi

The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone (e.g. the linear case, the influence of temperature and magnetic field, large classes of globally stable fluid motions etc.). The aim of this book is to provide a complete mathe­ matical treatment of hydrodynamic stability theory by combining the early results of engineers and applied mathematicians with the recent achievements of pure mathematicians. In order to ensure a more operational frame to this theory I have briefly outlined the main results concerning the stability of the simplest types of flow. I have attempted several definitions of the stability of fluid flows with due consideration of the connections between them. On the other hand, as the large number of initial and boundary value problems in hydrodynamic stability theory requires appropriate treat­ ments, most of this book is devoted to the main concepts and methods used in hydrodynamic stability theory. Open problems are expressed in both mathematical and physical terms.

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Recensione

`All in all, this book is a useful addition to the literature.'
I.H. Herron, Mathematical Reviews.

Contenuti

1. Classical hydrodynamic stability.- 2. Generalized solutions in hydrodynamic stability.- 3. Branching and stability of the solutions of the Navier-Stokes equations.- 4. Nature of turbulence.- 5. The influence of the presence of a porous medium on hydrodynamic stability.- Appendices 1. Operators in Hilbert spaces.- 2. Semigroups of operators in Banach spaces.- 3. Spectral theory of linear operators.- 4. Calculus of variations.- 5. Geometric methods in branching theory.- 6. New methods for solving the Orr-Sommerfeld equation.- 7. Analytical methods to solve some eigenvalue problems in hydrodynamic and hydromagnetic stability theory.- 8. Stability of nonstationary fluid flows.- Afterword.

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Editore
Springer
Data di pubblicazione
2010
Lingua
Inglese
ISBN 10 
9048182891
ISBN 13 
9789048182893
Rilegatura
Copertina flessibile
Numero di pagine
312
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
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Hamburg
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Altre edizioni note dello stesso titolo

9789024731206: Hydrodynamic Stability Theory: 9

Edizione in evidenza

ISBN 10:  9024731208 ISBN 13:  9789024731206
Casa editrice: Kluwer Academic Print on Demand, 1986
Rilegato