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Operator Approach to Linear Problems of Hydrodynamics - Volume 1: Self-adjoint Problems for an Ideal Fluid (Hardcover, 2001 ed.)
Loot Price: R4,741
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Operator Approach to Linear Problems of Hydrodynamics - Volume 1: Self-adjoint Problems for an Ideal Fluid (Hardcover, 2001 ed.)
Series: Operator Theory: Advances and Applications, 128
Expected to ship within 10 - 15 working days
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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.
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