Hamiltonian and Lagrangian Flows on Center Manifolds : with Applications to Elliptic Variational Problems
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 a...
Uloženo v:
| Hlavní autor: | |
|---|---|
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Edice: | Lecture notes in mathematics
1489 |
| Témata: | |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Hamiltonian and Lagrangian flows on center manifolds, with applications to elliptic variational problems, Alexander Mielke, Berlin, Springer-Verlag, 1991, 1 vol. (X-140 p.), Lecture notes in mathematics, 3-540-54710-X • Hamiltonian and Lagrangian Flows on Center Manifolds, Texte imprimé, 9783662186572 |
| LEADER | 03683nam a22003977a 4500 | ||
|---|---|---|---|
| 001 | 971433 | ||
| 008 | 110927q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN155207059 | ||
| 020 | |a 9783540464419 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Mielke, Alexander, |d 1958- | |
| 245 | 1 | 0 | |a Hamiltonian and Lagrangian Flows on Center Manifolds : |b with Applications to Elliptic Variational Problems |c Alexander Mielke. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1489 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Systèmes hamiltoniens | ||
| 650 | |a Analyse mathématique | ||
| 650 | |a Calcul des variations | ||
| 650 | |a Physique mathématique | ||
| 650 | |a Équations différentielles elliptiques | ||
| 650 | |a Équations d'Euler-Lagrange | ||
| 776 | 0 | |0 022241620 |t Hamiltonian and Lagrangian flows on center manifolds |o with applications to elliptic variational problems |f Alexander Mielke |c Berlin |n Springer-Verlag |d 1991 |p 1 vol. (X-140 p.) |s Lecture notes in mathematics |z 3-540-54710-X | |
| 776 | 0 | |t Hamiltonian and Lagrangian Flows on Center Manifolds |b Texte imprimé |z 9783662186572 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0097544 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-DXVTC9HD-2 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750652616 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0097544 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754002888 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0097544 |z Accès INSA CVL | |
| 997 | |0 971433 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||