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 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 …

The authors consider abstract nonlinear second order evolution equations with a nonlinear
damping. Questions related to long time behavior, existence and structure of global …

The main goal of this book is to present background material and recently developed
mathematical methods in the study of infinite-dimensional evolutionary models, taking into …

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 …

We consider a model for the flow of a mixture of two homogeneous and incompressible
fluids in a two-dimensional bounded domain. The model consists of a Navier–Stokes …

Our aim in this article is to study the long time behaviour of a family of singularly perturbed
Cahn‐Hilliard equations with singular (and, in particular, logarithmic) potentials. In …

We prove the existence of the universal attractor for the strongly damped semilinear wave
equation, in the presence of a quite general nonlinearity of critical growth. When the …

Our aim in this article is to construct exponential attractors for singularly perturbed damped
wave equations that are continuous with respect to the perturbation parameter. The main …

This survey is dedicated to the 100th anniversary of Mark Iosifovich Vishik and is based on a
number of mini-courses taught by the author at University of Surrey (UK) and Lanzhou …