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
Resource Information
The item Hamiltonian and Lagrangian flows on center manifolds : with applications to elliptic variational problems, Alexander Mielke represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Hamiltonian and Lagrangian flows on center manifolds : with applications to elliptic variational problems, Alexander Mielke represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- 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
- Language
- eng
- Extent
- 1 online resource (x, 140 pages)
- 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
- Isbn
- 9783540464419
- 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
- Subject
-
- Calcul des variations
- Calculus of variations
- Calculus of variations
- Calculus of variations
- Differential equations, Elliptic
- Differential equations, Elliptic
- Differential equations, Elliptic
- Elliptisches Variationsproblem
- Hamilton, système de
- Hamiltonian systems
- Hamiltonian systems
- Hamiltonian systems
- Hamiltonsches System
- Lagrange equations
- Lagrange equations
- Lagrange equations
- Lagrange, Équations de
- Lagrange, Équations de
- Systèmes hamiltoniens
- Zentrumsmannigfaltigkeit
- Équations différentielles elliptiques
- Équations différentielles elliptiques
- Calcul des variations
- 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
- 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
- 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
- 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.
Subject
- Calcul des variations
- Calculus of variations
- Calculus of variations
- Calculus of variations
- Differential equations, Elliptic
- Differential equations, Elliptic
- Differential equations, Elliptic
- Elliptisches Variationsproblem
- Hamilton, système de
- Hamiltonian systems
- Hamiltonian systems
- Hamiltonian systems
- Hamiltonsches System
- Lagrange equations
- Lagrange equations
- Lagrange equations
- Lagrange, Équations de
- Lagrange, Équations de
- Systèmes hamiltoniens
- Zentrumsmannigfaltigkeit
- Équations différentielles elliptiques
- Équations différentielles elliptiques
- Calcul des variations
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Hamiltonian-and-Lagrangian-flows-on-center/v2cxQTZr1m8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Hamiltonian-and-Lagrangian-flows-on-center/v2cxQTZr1m8/">Hamiltonian and Lagrangian flows on center manifolds : with applications to elliptic variational problems, Alexander Mielke</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
