Operator Approach to Linear Problems of Hydrodynamics: Volume 1: Self-adjoint Problems for an Ideal Fluid

Author:   Nikolay D. Kopachevskii ,  Selim G. Krein
Publisher:   Springer Basel
Edition:   Softcover reprint of the original 1st ed. 2001
Volume:   128
ISBN:  

9783034895255


Pages:   384
Publication Date:   25 October 2012
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Operator Approach to Linear Problems of Hydrodynamics: Volume 1: Self-adjoint Problems for an Ideal Fluid


Overview

The main topics presented in this book deal with methods from functional analysis applied to the study ofsmall movements and normal oscillations ofhydrome- chanical systems having cavities filled with either ideal or viscous fluids. The book is a sequel to and at the same time substantially extends the volume entitled ""Opera- tor Methods in Linear Hydrodynamics: Evolution and Spectral Problems,"" by N. D. Kopachevsky, S.G. Krein, and Ngo Zuy Kan that was published in 1989 by the Nauka publishing house in Moscow. The present book includesseveral new problems on the oscillations ofpartially dissipative hydrosystems and the oscillations of visco-elastic or relaxing fluids. The contents of this book do not overlap almost at all with the ones in the following volumes: ""Mathematical Problems of the Motion of Viscous Incopressible Fluids,"" by O. A. Ladyzhenskaya, ""The Dynamics ofBodies with Cavities Filled with Fluids,"" by N. N. Moiseev and V. V. Rumiantzev, ""Navier-Stokes Equations,"" by R. Temam, and ""Boundary Problems for Navier-Stokes Equations,"" by S. M. Belonosov and K. A. Chernous. Mainly, the contents of the present book rely on the authors' and their students' works. We would like to express our gratitude to I. T. Gohberg and A. S. Markus, who encouraged us to publish the book and who offered many helpful suggestions. Our gratidude goes also to our colleagues T. Ya. Azizov, O. A. Ladyzhenskaya, N. N.

Full Product Details

Author:   Nikolay D. Kopachevskii ,  Selim G. Krein
Publisher:   Springer Basel
Imprint:   Springer Basel
Edition:   Softcover reprint of the original 1st ed. 2001
Volume:   128
Dimensions:   Width: 15.50cm , Height: 2.10cm , Length: 23.50cm
Weight:   0.629kg
ISBN:  

9783034895255


ISBN 10:   3034895259
Pages:   384
Publication Date:   25 October 2012
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

I: Mathematical Foundations of Linear Hydrodynamics.- 1: Operators on Hilbert Spaces.- 2: Fundamental Spaces and Operators of Linear Hydrodynamics.- II: Motion of Bodies With Cavities Containing Ideal Fluids.- 3: Oscillations of a Heavy Ideal Fluid in Stationary and Nonstationary Containers.- 4: Problems on Oscillations of Capillary Fluids and Problems on Hydroelasticity in Immovable Containers.- 5: Other Operator Approaches to Hydrodynamics Problems of Ideal Fluids.- 6: Oscillations of an Ideal Rotating Fluid.- Appendix B: Remarks and Reference Comments to Part II.- B.1 Chapter 3.- B.2 Chapter 4.- B.3 Chapter 5.- B.4 Chapter 6.- Standard Reference Texts.- Standard Reference Texts.- List of Symbols.

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