An overview will be given of some nonlinear parabolic-like evolution problems which are off
the classical beaten track, but have increased in importance during the past decade. The …

Publisher Summary This chapter focuses on the Cahn–Hilliard equation. In the context of the
Cahn–Hilliard equation, the two components could refer, for example, to a system with two …

This book aims to provide an introduction to dynamical systems with multiple time scales. As
in any overview book, several topics are covered only quite briefly. My aim was to focus on …

Hysteresis is an exciting and mathematically challenging phenomenon that oc curs in rather
different situations: jt, can be a byproduct offundamental physical mechanisms (such as …

Predictions are made based on an analysis of a new nonlinear theory of martensitic
transformations introduced by the authors. The crystal is modelled as a nonlinear elastic …

A significant part of this book is based on a graduate course on pattern formation which I
have been teaching during the past two decades in the Physics Department at Ben-Gurion …

An overview of various aspects related to the spectral and nonlinear stability of travelling-
wave solutions to partial differential equations is given. The point and the essential spectrum …

A class of scalar semilinear parabolic equations possessing absorbing sets, a Lyapunov
functional, and a global attractor are considered. The gradient structure of the problem …

This paper is concerned with the asymptotic behavior as ε↖ 0 of the solution u ε of the
reaction-diffusion equation in RN× R+: ut− δ+(1∈ 2)= 0 where φ is the derivative of a …

Abstract 1 Some elementary examples 2 Optimal transport plans: existence and regularity 3
The one dimensional case 4 The ODE version of the optimal transport problem 5 The PDE …