Nonconservative Stability Problems of Modern Physics

Oleg N. Kirillov

ISBN 10: 311027034X / ISBN 13: 9783110270341

Published by Gruyter, Walter de GmbH, 2013

About this Item

Zustand: Sehr gut | Seiten: 446 | Sprache: Englisch | Produktart: Sonstiges.

Seller Inventory # 23680510/12

Bibliographic Details

• Title: Nonconservative Stability Problems of Modern Physics
• Publisher: Gruyter, Walter de GmbH
• Publication Date: 2013
• Language: English
• ISBN 10: 311027034X
• ISBN 13: 9783110270341
• Binding: Hardcover
• Condition: Sehr gut
• Seller catalogs:
  • Sonstiges

About this title

Synopsis

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.

From the Back Cover

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Oleg N. Kirillov


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.

It deals with both finite- and infinite-dimensional nonconservative systems
and covers the fundamentals of the theory, including such topics as
Lyapunov stability and linear stability analysis, Hamiltonian and gyroscopic
systems, reversible and circulatory systems, influence of structure of forces
on stability, and dissipation-induced instabilities, as well as concrete physical
problems, including perturbative techniques for nonself-adjoint boundary
eigenvalue problems, theory of the destabilization paradox due to small
damping in continuous circulatory systems, Krein-space related perturbation
theory for the MHD kinematic mean field α2-dynamo, analysis of Campbell
diagrams and friction-induced flutter in gyroscopic continua, non-Hermitian
perturbation of Hermitian matrices with applications to optics, and
magnetorotational instability and the Velikhov-Chandrasekhar paradox.

The book serves present and prospective specialists providing the current
state of knowledge in the actively developing field of nonconservative stability
theory. Its understanding is vital for many areas of technology, ranging
from such traditional ones as rotor dynamics, aeroelasticity and structural
mechanics to modern problems of hydro- and magnetohydrodynamics and
celestial mechanics.