Hamiltonian and Lagrangian Flows on Center Manifolds: with Applications to Elliptic Variational Problems (Lecture Notes in Mathematics, 1489)
Mielke, Alexander
ISBN 10: 354054710X ISBN 13: 9783540547105
Editorial: Springer, 1991
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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.
Reseña del editor: 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.
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Título: Hamiltonian and Lagrangian Flows on Center ...
Editorial: Springer
Año de publicación: 1991
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Condición: New
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Hamiltonian and Lagrangian Flows on Center Manifolds. With Applications to Elliptic Variational Problems.
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Hamiltonian and Lagrangian Flows on Center Manifolds : with Applications to Elliptic Variational Problems
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Hamiltonian and Lagrangian Flows on Center Manifolds: with Applications to Elliptic Variational Problems (Lecture Notes in Mathematics, 1489, Band 1489).
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Hamiltonian and Lagrangian Flows on Center Manifolds
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Springer Berlin Heidelberg, 1991
ISBN 10: 354054710X
ISBN 13: 9783540547105
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The theory of center manifold reduction is studied in thismonograph in the context of (infinite-dimensional) Hamil-tonian and Lagrangian systems. The aim is to establish a natural reduction method for Lagrangian systems to theircenter manifolds. Nonautono. Nº de ref. del artículo: 4893309
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Hamiltonian and Lagrangian Flows on Center Manifolds | with Applications to Elliptic Variational Problems
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Taschenbuch. Condición: Neu. Hamiltonian and Lagrangian Flows on Center Manifolds | with Applications to Elliptic Variational Problems | Alexander Mielke | Taschenbuch | x | Englisch | 1991 | Springer Berlin | EAN 9783540547105 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Nº de ref. del artículo: 102136380
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Hamiltonian and Lagrangian Flows on Center Manifolds: with Applications to Elliptic Variational Problems (Lecture Notes in Mathematics, 1489)
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Hamiltonian and Lagrangian Flows on Center Manifolds : with Applications to Elliptic Variational Problems
Publicado por
Springer Berlin Heidelberg, 1991
ISBN 10: 354054710X
ISBN 13: 9783540547105
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - The theory of center manifold reduction is studied in thismonograph in the context of (infinite-dimensional) Hamil-tonian and Lagrangian systems. The aim is to establish a'natural reduction method' for Lagrangian systems to theircenter manifolds. Nonautonomous problems are considered aswell assystems invariant under the action of a Lie group (including the case of relative equilibria).The theory is applied to elliptic variational problemsoncylindrical domains. As a result, all bounded solutionsbifurcating from a trivial state can be described by areduced finite-dimensional variational problem of Lagrangiantype. This provides a rigorous justification of rod theoryfrom fully nonlinear three-dimensional elasticity.The book will be of interest to researchers working inclassical mechanics, dynamical systems, elliptic variationalproblems, and continuum mechanics. It begins with theelements of Hamiltonian theory and center manifold reductionin order to make the methods accessible to non-specialists,from graduate student level. Nº de ref. del artículo: 9783540547105
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Hamiltonian and Lagrangian Flows on Center Manifolds
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Okt 1991, 1991
ISBN 10: 354054710X
ISBN 13: 9783540547105
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Taschenbuch. Condición: Neu. Neuware -The theory of center manifold reduction is studied in thismonograph 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 156 pp. Englisch. Nº de ref. del artículo: 9783540547105
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Hamiltonian and Lagrangian Flows on Center Manifolds
Publicado por
Springer Berlin Heidelberg Okt 1991, 1991
ISBN 10: 354054710X
ISBN 13: 9783540547105
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The theory of center manifold reduction is studied in thismonograph in the context of (infinite-dimensional) Hamil-tonian and Lagrangian systems. The aim is to establish a'natural reduction method' for Lagrangian systems to theircenter manifolds. Nonautonomous problems are considered aswell assystems invariant under the action of a Lie group (including the case of relative equilibria).The theory is applied to elliptic variational problemsoncylindrical domains. As a result, all bounded solutionsbifurcating from a trivial state can be described by areduced finite-dimensional variational problem of Lagrangiantype. This provides a rigorous justification of rod theoryfrom fully nonlinear three-dimensional elasticity.The book will be of interest to researchers working inclassical mechanics, dynamical systems, elliptic variationalproblems, and continuum mechanics. It begins with theelements of Hamiltonian theory and center manifold reductionin order to make the methods accessible to non-specialists,from graduate student level. 156 pp. Englisch. Nº de ref. del artículo: 9783540547105
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Hamiltonian and Lagrangian Flows on Center Manifolds: with Applications to Elliptic Variational Problems (Lecture Notes in Mathematics, 1489)
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