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

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

Paperback

Series: Operator Theory: Advances and Applications, Book 128

General GardeningGeneral Mathematics

ISBN10: 3034895259
ISBN13: 9783034895255
Publisher: Springer Nature
Published: Oct 25 2012
Pages: 384
Weight: 1.27
Height: 0.85 Width: 6.14 Depth: 9.21
Language: English
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.

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