Roger Temam
Springer New York
2e druk, 1997
9780387948669
Infinite-Dimensional Dynamical Systems in Mechanics and Physics
Specificaties
Gebonden, 650 blz.
|
Engels
Springer New York |
2e druk, 1997
ISBN13: 9780387948669
Rubricering
Onderdeel van serie
Applied Mathematical Sciences
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9780387948669
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:650
Uitgever:Springer New York
Druk:2
Inhoudsopgave
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.