عنوان

Operator Approach to Linear Problems of Hydrodynamics

(Number (ISBN

9783034883429

(Number (ISBN

9783034895255

Number

b406218

Title Proper

Operator Approach to Linear Problems of Hydrodynamics

General Material Designation

[Book]

Other Title Information

Volume 1: Self-adjoint Problems for an Ideal Fluid /

First Statement of Responsibility

by Nikolay D. Kopachevsky, Selim G. Krein.

Place of Publication, Distribution, etc.

Basel :

Name of Publisher, Distributor, etc.

Imprint: Birkhäuser,

Date of Publication, Distribution, etc.

2001.

Series Title

Operator Theory: Advances and Applications ;

Volume Designation

128

Text of Note

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.

0

Text of Note

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.

International Standard Book Number

9783034895255

Title

Springer eBooks

Differential equations, Partial.

Mathematics.

Operator theory.

Kopachevsky, Nikolay D.

Krein, Selim G.

SpringerLink (Online service)

Date of Transaction

20190307160500.0

Electronic name

[Book]

Y