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...

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Detaylı Bibliyografya
Yazar: Mielke, Alexander, 1958-
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Seri Bilgileri:Lecture notes in mathematics 1489
Konular:
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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
İçindekiler:
  • 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.