This book discusses classical results, as well as recent developments, related to the Cahn–
Hilliard equation. It is based on the lectures that I gave at the CBMS-NSF Conference on the …

Publisher Summary This chapter discusses a restricted but useful class of dynamical
systems—, namely, those enjoying a comparison principle with respect to a closed order …

The book treats the theory of attractors for non-autonomous dynamical systems. The aim of
the book is to give a coherent account of the current state of the theory, using the framework …

Although mathematics ranks last in the Six Arts (rites, music, archery, chariot racing,
calligraphy and mathematics), it is used in the most practical issues and affairs. Maximally, it …

By appealing to the theory of global attractors on complete metric spaces, we obtain weaker
sufficient conditions for the existence of interior global attractors for uniformly persistent …

First, we introduce the concept of pullback asymptotically compact non-autonomous
dynamical system as an extension of the similar concept in the autonomous framework. Our …

Publisher Summary The study of the asymptotic behavior of dynamical systems arising from
mechanics and physics is a capital issue because it is essential for practical applications to …

Since the early part of the 20th century, it has been understood that the description of nature
at the subatomic scale requires quantum mechanics. In quantum mechanics, the position …

First we establish some necessary and sufficient conditions for the existence of the global
attractor of an infinite dimensional dynamical system, using the measure of …

Our aim in this article is to discuss recent issues related with the Cahn-Hilliard equation in
phase separation with the thermodynamically relevant logarithmic potentials; in particular …