Operator Approach to Linear Problems of Hydrodynamics
Subtitle: Volume 2: Nonself-adjoint Problems for Viscous Fluids
By: by Nikolay D. Kopachevsky, Selim G. Krein
Contributors: Krein, Selim G.
Series: Operator Theory: Advances and Applications -- 146; Operator theory, advances and applications -- 146.
Publisher: Birkhäuser Basel; Imprint; Birkhäuser
Published: 2003
Place of publication: Basel
Language: eng
Format: [electronic resource] :
Number of pages: 444
ISBN-13: 9783034880633
Subjects: Mathematics; Operator theory
Description: This is the second volume of a set of two devoted to the operator approach to linear problems in hydrodynamics (Volume 1: 3-7643-5406-2). 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 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. The second part of the present volume collects nonself-adjoint problems on small motions and normal oscillations of a viscous fluid filling a bounded region. 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.