Coverart for item
The Resource Hamiltonian and Lagrangian flows on center manifolds : with applications to elliptic variational problems, Alexander Mielke

Hamiltonian and Lagrangian flows on center manifolds : with applications to elliptic variational problems, Alexander Mielke

Label
Hamiltonian and Lagrangian flows on center manifolds : with applications to elliptic variational problems
Title
Hamiltonian and Lagrangian flows on center manifolds
Title remainder
with applications to elliptic variational problems
Statement of responsibility
Alexander Mielke
Creator
Subject
Language
eng
Summary
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
Member of
Action
digitized
Cataloging source
SPLNM
http://library.link/vocab/creatorDate
1958-
http://library.link/vocab/creatorName
Mielke, Alexander
Dewey number
  • 510 s
  • 514/.74
Illustrations
illustrations
Index
index present
LC call number
  • QA3
  • QA614.83
LC item number
.L28 no. 1489
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1489
http://library.link/vocab/subjectName
  • Hamiltonian systems
  • Lagrange equations
  • Differential equations, Elliptic
  • Calculus of variations
  • Systèmes hamiltoniens
  • Équations différentielles elliptiques
  • Calcul des variations
  • Lagrange, Équations de
  • Calculus of variations
  • Differential equations, Elliptic
  • Hamiltonian systems
  • Lagrange equations
  • Elliptisches Variationsproblem
  • Zentrumsmannigfaltigkeit
  • Hamiltonsches System
  • Hamilton, système de
  • Lagrange, Équations de
  • Équations différentielles elliptiques
  • Calcul des variations
Label
Hamiltonian and Lagrangian flows on center manifolds : with applications to elliptic variational problems, Alexander Mielke
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 133-138) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
294858707
Dimensions
unknown
Extent
1 online resource (x, 140 pages)
Form of item
online
Isbn
9783540464419
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)294858707
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Label
Hamiltonian and Lagrangian flows on center manifolds : with applications to elliptic variational problems, Alexander Mielke
Publication
Bibliography note
Includes bibliographical references (pages 133-138) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
294858707
Dimensions
unknown
Extent
1 online resource (x, 140 pages)
Form of item
online
Isbn
9783540464419
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Reproduction note
Electronic reproduction.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)294858707
System details
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

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