Mathematics-Dynamical Systems

Infinite-dimensional dynamical systems

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Title (user) : Infinite-dimensional dynamical systemsTitle (google) : Infinite-Dimensional Dynamical Systems in Mechanics and PhysicsISBN : 9780387966380,0387966382DDC : 510 s,515.3/52LCC : QA1 .A647 vol. 68,QA614.8 .A647 vol. 68GoogleBook ID : W7inuAEACAAJOpenLibrar...
Description

Title (user) : Infinite-dimensional dynamical systems

Title (google) : Infinite-Dimensional Dynamical Systems in Mechanics and Physics

ISBN : 9780387966380,0387966382

DDC : 510 s,515.3/52

LCC : QA1 .A647 vol. 68,QA614.8 .A647 vol. 68

GoogleBook ID : W7inuAEACAAJ

OpenLibrary ID : OL2398576M

Edition : 1

Series : Applied Mathematical Sciences

Authors (user) : Roger Temam

Authors (google) : Roger Temam

Publisher : Springer

Language : English

Publication Date : 1997

Scanned : yes (300 DPI)

File Format : djvu

Categories : Mathematics


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Description (user) :
This book is the first attempt for a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics, along with other areas of science and technology. A synthetic view of the relation between infinite and finite dimensional systems is presented. Equations considered include reaction-diffusion, Navier-Stokes and other fluid mechanics equations, magnetohydrodynamics, thermohydraulics, pattern formation, Ginzburg-Landau and damped wave. The last chapter of the book introduces inertial manifolds, a subject of rapid development.


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Description (google) :
This is the first attempt at a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics. Other areas of science and technology are included where appropriate. The relation between infinite and finite dimensional systems is presented from a synthetic viewpoint and equations considered include reaction-diffusion, Navier-Stokes and other fluid mechanics equations, magnetohydrodynamics, thermohydraulics, pattern formation, Ginzburg-Landau, damped wave and an introduction to inertial manifolds.

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