One of the major problems in the study of evolution equations of mathematical physics is the investigation of the behavior of the solutions to these equations w

This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate iner

The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations. This engaging volume pre

In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This boo

This book deals with the long-time behavior of solutions of degenerate parabolic dissipative equations arising in the study of biological, ecological, and physi