Hamiltonian and Lagrangian Flows on Center Manifolds - with Applications to Elliptic Variational Problems (Paperback, 1991 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1489
Release date:	October 1991
First published:	1991
Authors:	Alexander Mielke
Dimensions:	235 x 155 x 8mm (L x W x T)
Format:	Paperback
Pages:	140
Edition:	1991 ed.
ISBN-13:	978-3-540-54710-5
Categories:	Books > Science & Mathematics > Physics > Classical mechanics > General
LSN:	3-540-54710-X
Barcode:	9783540547105

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