Infinite-dimensional Dynamical Systems in Mechanics and Physics - (2nd Edition)

Author: R. Temam
Publisher:
Publication Date: 2000-06-01
Features: Since the publication of the first edition of this book in 1988, the study of dynamical systems of infinite dimension has been a very active area in pure and applied mathematics; new results include the study of the existence of attractors for a large number of systems in mathematical physics and mechanics; lower and upper estimates on the dimension of the attractors; approximation of attractors; inertial manifolds and their approximation. The study of multilevel numerical methods stemming from dynamical system theory has also developed as a subject on its own. Finally, intermediate concepts between attractors and inertial manifolds have also been introduced, particularly the concept of inertial sets.