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Cover: 9781461268536 | Infinite-Dimensional Dynamical Systems in Mechanics and Physics | Buch
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Infinite-Dimensional Dynamical Systems in Mechanics and Physics
Taschenbuch von Roger Temam
Sprache: Englisch

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Beschreibung
In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.
In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.
Inhaltsverzeichnis
Contents: General results and concepts on invariant sets and attractors.- Elements of functional analysis.- Attractors of the dissipative evolution equation of the first order in time: reaction-diffusion equations.- Fluid mechanics and pattern formation equations.- Attractors of dissipative wave equations.- Lyapunov exponents and dimensions of attractors.- Explicit bounds on the number of degrees of freedom and the dimension of attractors of some physical systems.- Non-well-posed problems, unstable manifolds. lyapunov functions, and lower bounds on dimensions.- The cone and squeezing properties.- Inertial manifolds.- New chapters: Inertial manifolds and slow manifolds the nonselfadjoint case.
Details
Erscheinungsjahr: 2013
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xxii
650 S.
ISBN-13: 9781461268536
ISBN-10: 1461268532
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Temam, Roger
Auflage: 2nd edition 1997. Softcover reprint of the original 2nd edition 1997
Hersteller: Springer US
Springer New York
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 37 mm
Von/Mit: Roger Temam
Erscheinungsdatum: 07.12.2013
Gewicht: 1,007 kg
Artikel-ID: 105322851
Inhaltsverzeichnis
Contents: General results and concepts on invariant sets and attractors.- Elements of functional analysis.- Attractors of the dissipative evolution equation of the first order in time: reaction-diffusion equations.- Fluid mechanics and pattern formation equations.- Attractors of dissipative wave equations.- Lyapunov exponents and dimensions of attractors.- Explicit bounds on the number of degrees of freedom and the dimension of attractors of some physical systems.- Non-well-posed problems, unstable manifolds. lyapunov functions, and lower bounds on dimensions.- The cone and squeezing properties.- Inertial manifolds.- New chapters: Inertial manifolds and slow manifolds the nonselfadjoint case.
Details
Erscheinungsjahr: 2013
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xxii
650 S.
ISBN-13: 9781461268536
ISBN-10: 1461268532
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Temam, Roger
Auflage: 2nd edition 1997. Softcover reprint of the original 2nd edition 1997
Hersteller: Springer US
Springer New York
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 37 mm
Von/Mit: Roger Temam
Erscheinungsdatum: 07.12.2013
Gewicht: 1,007 kg
Artikel-ID: 105322851
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