Hamiltonian and Lagrangian Flows on Center Manifolds: With Applications to Elliptic Variational Problems

ISBN-13: 9783540547105 / Angielski / Miękka / 1991 / 140 str.

Alexander Mielke

Opis

The theory of center manifold reduction is studied in this monograph in the context of infinite-dimensional Hamiltonian and Lagrangian systems. The theory is also applied to elliptic variational problems on cylindrical domains.

Spis treści

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.