Operator Approach To Linear Problems Of Hydrodynamics
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Operator Approach To Linear Problems Of Hydrodynamics
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Author : Nikolay D. Kopachevsky
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Operator Approach To Linear Problems Of Hydrodynamics written by Nikolay D. Kopachevsky and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
As mentioned in the Introduction to Volume I, the present monograph is intended both for mathematicians interested in applications of the theory of linear operators and operator-functions to problems of hydrodynamics, and for researchers of applied hydrodynamic problems, who want to study these problems by means of the most recent achievements in operator theory. The second volume considers nonself-adjoint problems describing motions and normal oscillations of a homogeneous viscous incompressible fluid. These ini tial boundary value problems of mathematical physics include, as a rule, derivatives in time of the unknown functions not only in the equation, but in the boundary conditions, too. Therefore, the spectral problems corresponding to such boundary value problems include the spectral parameter in the equation and in the bound ary conditions, and are nonself-adjoint. In their study, we widely used the theory of nonself-adjoint operators acting in a Hilbert space and also the theory of operator pencils. In particular, the methods of operator pencil factorization and methods of operator theory in a space with indefinite metric find here a wide application. We note also that this volume presents both the now classical problems on oscillations of a homogeneous viscous fluid in an open container (in an ordinary state and in weightlessness) and a new set of problems on oscillations of partially dissipative hydrodynamic systems, and problems on oscillations of a visco-elastic or relaxing fluid. Some of these problems need a more careful additional investigation and are rather complicated.
Operator Approach To Linear Problems Of Hydrodynamics
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Author : Nikolay D. Kopachevskii
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-09-01
Operator Approach To Linear Problems Of Hydrodynamics written by Nikolay D. Kopachevskii and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-01 with Mathematics categories.
Operator Approach To Linear Problems Of Hydrodynamics
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Author : Nikolay D. Kopachevskii
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Operator Approach To Linear Problems Of Hydrodynamics written by Nikolay D. Kopachevskii and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
This is the first volume of a set of two devoted to the operator approach to linear problems in hydrodynamics. It presents functional analytical methods applied to the study of small movements and normal oscillations of hydromechanical systems having cavities filled with either ideal or viscous fluids. The work is a sequel to and at the same time substantially extends the volume "Operator Methods in Linear Hydrodynamics: Evolution and Spectral Problems" by N.D. Kopachevsky, S.G. Krein and Ngo Zuy Kan, published in 1989 by Nauka in Moscow. It includes several new problems on the oscillations of partially dissipative hydrosystems and the oscillations of visco-elastic or relaxing fluids. The work relies on the authors' and their students' works of the last 30-40 years. The readers are not supposed to be familiar with the methods of functional analysis. In the first part of the present volume, the main facts of linear operator theory relevant to linearized problems of hydrodynamics are summarized, including elements of the theories of distributions, self-adjoint operators in Hilbert spaces and in spaces with an indefinite metric, evolution equations and asymptotic methods for their solutions, the spectral theory of operator pencils. The book is particularly useful for researchers, engineers and students in fluid mechanics and mathematics interested in operator theoretical methods for the analysis of hydrodynamical problems.
Operator Approach To Linear Problems Of Hydrodynamics
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Author : Nikolay D. Kopachevskii
language : en
Publisher: Birkhäuser
Release Date : 2001-09-01
Operator Approach To Linear Problems Of Hydrodynamics written by Nikolay D. Kopachevskii and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-09-01 with Mathematics categories.
Operator Approach To Linear Problems Of Hydrodynamics Nonself Adjoint Problems For Viscous Fluids
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Author : N. D. Kopachevskiĭ
language : en
Publisher:
Release Date : 2001
Operator Approach To Linear Problems Of Hydrodynamics Nonself Adjoint Problems For Viscous Fluids written by N. D. Kopachevskiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Fluid dynamics categories.
Operator Approach To Linear Problems Of Hydrodynamics
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Author : N. D. Kopachevskiĭ
language : en
Publisher:
Release Date : 2001
Operator Approach To Linear Problems Of Hydrodynamics written by N. D. Kopachevskiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Fluid dynamics categories.
Operator Approach To Linear Problems Of Hydrodynamics Self Adjoint Problems For An Ideal Fluid
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Author : N. D. Kopachevskiĭ
language : en
Publisher: Birkhauser
Release Date : 2001
Operator Approach To Linear Problems Of Hydrodynamics Self Adjoint Problems For An Ideal Fluid written by N. D. Kopachevskiĭ and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
Operator Approach To Linear Problems Of Hydrodynamics Nonself Adjoint Problems For Viscous Fluids
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Author : N. D. Kopachevskiĭ
language : en
Publisher:
Release Date : 2001
Operator Approach To Linear Problems Of Hydrodynamics Nonself Adjoint Problems For Viscous Fluids written by N. D. Kopachevskiĭ and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Fluid dynamics categories.
Operator Theoretical Methods And Applications To Mathematical Physics
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Author : Israel Gohberg
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Operator Theoretical Methods And Applications To Mathematical Physics written by Israel Gohberg and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This volume is devoted to the life and work of the applied mathematician Professor Erhard Meister (1930-2001). He was a member of the editorial boards of this book series Operator The ory: Advances and Applications as well as of the journal Integral Equations and Operator Theory, both published by Birkhauser (now part of Springer-Verlag). Moreover he played a decisive role in the foundation of these two series by helping to establish contacts between Birkhauser and the founder and present chief editor of this book series after his emigration from Moldavia in 1974. The volume is divided into two parts. Part A contains reminiscences about the life of E. Meister including a short biography and an exposition of his professional work. Part B displays the wide range of his scientific interests through eighteen original papers contributed by authors with close scientific and personal relations to E. Meister. We hope that a great part of the numerous features of his life and work can be re-discovered from this book.
Selected Topics In Complex Analysis
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Author : Vladimir Ya. Eiderman
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-04-20
Selected Topics In Complex Analysis written by Vladimir Ya. Eiderman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-20 with Mathematics categories.
This volume opens with a paper by V.P. Havin that presents a comprehensive survey of the work of mathematician S.Ya. Khavinson. It includes a complete bibliography, previously unpublished, of 163 items, and twelve peer-reviewed research and expository papers by leading mathematicians, including the joint paper by Khavinson and T.S. Kuzina. The emphasis is on the usage of tools from functional analysis, potential theory, algebra, and topology.