Hamiltonian and Lagrangian Flows on Center Manifolds
with Applications to Elliptic Variational Problems
(Sprache: Englisch)
The theory of center manifold reduction is studied in this
monograph in the context of (infinite-dimensional) Hamil-
tonian and Lagrangian systems. The aim is to establish a
"natural reduction method" for Lagrangian systems to their
center...
monograph in the context of (infinite-dimensional) Hamil-
tonian and Lagrangian systems. The aim is to establish a
"natural reduction method" for Lagrangian systems to their
center...
Leider schon ausverkauft
versandkostenfrei
Buch
26.74 €
Produktdetails
Produktinformationen zu „Hamiltonian and Lagrangian Flows on Center Manifolds “
The theory of center manifold reduction is studied in this
monograph in the context of (infinite-dimensional) Hamil-
tonian and Lagrangian systems. The aim is to establish a
"natural reduction method" for Lagrangian systems to their
center manifolds. Nonautonomous problems are considered as
well assystems invariant under the action of a Lie group (
including the case of relative equilibria).
The theory is applied to elliptic variational problemson
cylindrical domains. As a result, all bounded solutions
bifurcating from a trivial state can be described by a
reduced finite-dimensional variational problem of Lagrangian
type. This provides a rigorous justification of rod theory
from fully nonlinear three-dimensional elasticity.
The book will be of interest to researchers working in
classical mechanics, dynamical systems, elliptic variational
problems, and continuum mechanics. It begins with the
elements of Hamiltonian theory and center manifold reduction
in order to make the methods accessible to non-specialists,
from graduate student level.
monograph in the context of (infinite-dimensional) Hamil-
tonian and Lagrangian systems. The aim is to establish a
"natural reduction method" for Lagrangian systems to their
center manifolds. Nonautonomous problems are considered as
well assystems invariant under the action of a Lie group (
including the case of relative equilibria).
The theory is applied to elliptic variational problemson
cylindrical domains. As a result, all bounded solutions
bifurcating from a trivial state can be described by a
reduced finite-dimensional variational problem of Lagrangian
type. This provides a rigorous justification of rod theory
from fully nonlinear three-dimensional elasticity.
The book will be of interest to researchers working in
classical mechanics, dynamical systems, elliptic variational
problems, and continuum mechanics. It begins with the
elements of Hamiltonian theory and center manifold reduction
in order to make the methods accessible to non-specialists,
from graduate student level.
Klappentext zu „Hamiltonian and Lagrangian Flows on Center Manifolds “
The theory of center manifold reduction is studied in thismonograph in the context of (infinite-dimensional) Hamil-
tonian and Lagrangian systems. The aim is to establish a
"natural reduction method" for Lagrangian systems to their
center manifolds. Nonautonomous problems are considered as
well assystems invariant under the action of a Lie group (
including the case of relative equilibria).
The theory is applied to elliptic variational problemson
cylindrical domains. As a result, all bounded solutions
bifurcating from a trivial state can be described by a
reduced finite-dimensional variational problem of Lagrangian
type. This provides a rigorous justification of rod theory
from fully nonlinear three-dimensional elasticity.
The book will be of interest to researchers working in
classical mechanics, dynamical systems, elliptic variational
problems, and continuum mechanics. It begins with the
elements of Hamiltonian theory and center manifold reduction
in order to make the methods accessible to non-specialists,
from graduate student level.
Inhaltsverzeichnis zu „Hamiltonian and Lagrangian Flows on Center Manifolds “
Notations and basic facts on center manifolds.- The linear theory.- Hamiltonian flows on center manifolds.- Hamiltonian systems with symmetries.- Lagrangian systems.- Nonautonomous systems.- Elliptic variational problems on cylindrical domains.- Capillarity surface waves.- Necking of strips.- Saint-Venant's problem.
Bibliographische Angaben
- Autor: Alexander Mielke
- 1991, 156 Seiten, Maße: 15,5 x 23,5 cm, Taschenbuch, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 354054710X
- ISBN-13: 9783540547105
- Erscheinungsdatum: 23.10.1991
Sprache:
Englisch
Kommentar zu "Hamiltonian and Lagrangian Flows on Center Manifolds"
0 Gebrauchte Artikel zu „Hamiltonian and Lagrangian Flows on Center Manifolds“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Hamiltonian and Lagrangian Flows on Center Manifolds".
Kommentar verfassen