Edición de la obra Infinite-dimensional dynamical systems in mechanics and physics
| Autor | Roger Temam |
|---|---|
| Editorial | Springer |
| Fecha de publicación | 1997 |
| Lugar | New York |
| Idioma | inglés |
| Páginas | 648 |
| ISBN-10 | 038794866X |
| OCLC | 35172655 |
| LCCN | 96033318 |
| Serie | Applied mathematical sciences ; · 68 · Applied mathematical sciences (Springer-Verlag New York Inc.) ; |
| Número de Cutter |
T278i |
This book presents dynamical systems in the infinite dimension, especially those generated by dissipative partial differential equations. This includes nonlinear parabolic equations such as reaction diffusion equations and Navier-Stokes equations; pattern formation equations such as Cahn-Hilliard and Kuramoto Sivashinsky equations; and wave equations such as the sine-Gordon equation, damped nonlinear wave equations, and weakly dissipative dispersive equations. The existence and uniqueness of solutions, the existence of a global attractor, and inertial manifolds when applicable are all studied in this book. In addition to a general revision of the book, two new topics have been added to this new edition: the study of the attractor (existence and regularity) in the absence of compactness; and the approximation of inertial manifolds by (convergent) families of smooth finite-dimensional manifolds and the approximation of attractors by (nonconvergent) sequences of similar manifolds. This book will be useful for researchers in mathematics, physics, and engineering.