UID:
almahu_9949244025602882
Format:
1 online resource (429 p.)
ISBN:
9783110270433
,
9783110645309
Series Statement:
De Gruyter Studies in Mathematical Physics , 14
Content:
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.
Note:
Mode of access: Internet via World Wide Web.
,
In English.
In:
DG Studies in Mathematical Physics eBook-Package, De Gruyter, 9783110645309
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Physical Sciences 2000-2014 (EN), De Gruyter, 9783110238518
In:
DGBA Physical Sciences 2000 - 2014, De Gruyter, 9783110637212
In:
E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013, De Gruyter, 9783110317350
In:
E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013, De Gruyter, 9783110317282
In:
E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013, De Gruyter, 9783110317275
Language:
English
Subjects:
Mathematics
DOI:
10.1515/9783110270433
URL:
https://doi.org/10.1515/9783110270433
URL:
https://www.degruyter.com/isbn/9783110270433
URL:
Volltext
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