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
dam**. 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 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 …

Smooth attractors for strongly damped wave equations Page 1 Nonlinearity Smooth attractors for
strongly damped wave equations To cite this article: Vittorino Pata and Sergey Zelik 2006 …

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 …

We consider in this article the Cahn–Hilliard equation endowed with dynamic boundary
conditions. By interpreting these boundary conditions as a parabolic equation on the …

We suggest in this paper a new explicit algorithm allowing us to construct exponential
attractors which are uniformly Hölder continuous with respect to the variation of the …

The paper is devoted to study of the longtime behavior of solutions of a damped semilinear
wave equation in a bounded smooth domain of R3 with the nonautonomous external forces …