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Format: XVII, 429 S. : , graph. Darst. ; , 240 mm x 170 mm.

ISBN: 3-11-027034-X , 978-3-11-027034-1 , 978-3-11-027044-0

Series Statement: Studies in Mathematical Physics 14

Note: Literaturverz. S. [387] - 422

Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-11-027043-3

Language: English

Subjects: Mathematics

Keywords: Physikalisches System ; Stabilität ; Nichtkonservative Kraft

URL: Inhaltstext

URL: Inhaltsverzeichnis

URL: Inhaltsverzeichnis

URL: Inhaltstext

URL: Inhaltstext

Author information: Kirillov, Oleg N., 1972-

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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: Cover

URL: Volltext

URL: Volltext  (lizenzpflichtig)

URL: lizenzpflichtig

URL: Cover

URL: Inhaltstext

URL: Cover

URL: https://doi.org/10.1515/9783110270433

UID:

Format: Online-Ressource (XVII, 429 S.)

ISBN: 9783110270341 (print)

Series Statement: De Gruyter Studies in Mathematical Physics 14

Content: Biographical note: Oleg N. Kirillov, Helmholtz-Zentrum, Dresden-Rossendorf, Germany.

Content: Main description: 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.

Additional Edition: ISBN 9783110270433

Additional Edition: ISBN 9783110270440

Language: English

DOI: 10.1515/9783110270433

URL: http://dx.doi.org/10.1515/9783110270433

URL: http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110270433&searchTitles=true

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Format: 1 online resource (447 pages) : , illustrations.

ISBN: 9783110270433 (e-book)

Series Statement: De Gruyter studies in mathematical physics ;

Language: English

Keywords: Electronic books.

URL: Click to View

UID:

Format: 1 online resource (448 p.)

ISBN: 3-11-027043-9

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: Description based upon print version of record. , Front matter -- , 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 α2-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 , Issued also in print. , English

Additional Edition: ISBN 3-11-027034-X

Language: English

Subjects: Mathematics

DOI: 10.1515/9783110270433

UID:

Format: 1 online resource(xvii,429p.) : , illustrations.

Edition: Electronic reproduction. Berlin/Boston : De Gruyter. Mode of access: World Wide Web.

Edition: System requirements: Web browser.

Edition: Access may be restricted to users at subscribing institutions.

ISBN: 9783110270433

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.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.

Note: 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 α2-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. , Also available in print edition. , In English.

Additional Edition: ISBN 9783110270341

Additional Edition: ISBN 9783110270440

Language: English

DOI: 10.1515/9783110270433

URL: https://doi.org/10.1515/9783110270433