Nonconservative stability problems of modern physics /

This work gives a complete overview on the subject of nonconservative stability from the modern point of view. Relevant mathematical concepts are presented, as well as rigorous stability results and numerous classical and contemporary examples from mechanics and physics.The book shall serve to prese...

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Bibliographic Details
Main Authors: Kirillov, Oleg N.
Corporate Authors: De Gruyter.
Published: De Gruyter,
Publisher Address: Berlin/Boston :
Publication Dates: [2013]
Literature type: eBook
Language: English
Series: De gruyter studies in mathematical physics; 14
Subjects:
Online Access: http://dx.doi.org/10.1515/9783110270433
http://www.degruyter.com/doc/cover/9783110270433.jpg
Summary: This work gives a complete overview on the subject of nonconservative stability from the modern point of view. Relevant mathematical concepts are presented, as well as rigorous stability results and numerous classical and contemporary examples from mechanics and physics.The book shall serve to present and prospective specialists providing the current state of knowledge in this actively developing field. The understanding of this theory is vital for many areas of technology, as dissipative effects in rotor dynamics orcelestial mechanics.
Carrier Form: 1 online resource(xvii,429 pages) : illustrations.
Also available in print edition.
ISBN: 9783110270433(electronic bk.)
Index Number: QA871
CLC: O414.2
Contents: Frontmatter --
Preface --
Contents --
Chapter 1: Introduction --
Chapter 2: Lyapunov stability and linear stability analysis --
Chapter 3: Hamiltonian and gyroscopic systems --
Chapter 4: Reversible and circulatory systems --
Chapter 5: Influence of structure of forces on stability --
Chapter 6: Dissipation-induced instabilities --
Chapter 7: Nonself-adjoint boundary eigenvalue problems for differential operators and operator matrices dependent on parameters --
Chapter 8: The destabilization paradox in continuous circulatory systems --
Chapter 9: The MHD kinematic mean field 2-dynamo --
Chapter 10: Campbell diagrams of gyroscopic continua and subcritical friction-induced flutter --
Chapter 11: Non-Hermitian perturbation of Hermitian matrices with physical applications --
Chapter 12: Magnetorotational instability --
References --
Index.