Operator Approach to Linear Problems of Hydrodynamics - Volume 1: Self-adjoint Problems for an Ideal Fluid (Paperback, Softcover reprint of the original 1st ed. 2001)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Operator Theory: Advances and Applications, 128
Release date:	October 2012
First published:	October 2012
Authors:	Nikolay D. Kopachevskii • Selim G. Krein
Dimensions:	235 x 155 x 21mm (L x W x T)
Format:	Paperback
Pages:	384
Edition:	Softcover reprint of the original 1st ed. 2001
ISBN-13:	978-3-03-489525-5
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Science & Mathematics > Physics > Classical mechanics > General
LSN:	3-03-489525-9
Barcode:	9783034895255

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