In the past year it has become possible to fabricate ferroelectric thin-film memories onto
standard silicon integrated circuits that combine very high speed (30-nanosecond …

We discuss the local minimality of certain configurations for a nonlocal isoperimetric problem
used to model microphase separation in diblock copolymer melts. We show that critical …

We develop a theory of the domain patterns in systems with competing short-range attractive
interactions and long-range repulsive Coulomb interactions. We take an energetic …

We develop partial differential equation (PDE) methods to study the dynamics of pattern
formation in partial integro-differential equations (PIDEs) defined on a spatially extended …

Spatial patterns and spatiotemporal dynamics in chemical systems Page 448 SPATIAL
PATTERNS AND SPATIOTEMPORAL DYNAMICS IN CHEMICAL SYSTEMS A. DE WIT Service …

We discuss a variety of experimental and theoretical studies of localized stationary spots,
oscillons, and localized oscillatory clusters, moving and breathing spots, and localized …

This paper is concerned with a study of the classical isoperimetric problem modified by an
addition of a nonlocal repulsive term. We characterize existence, nonexistence, and radial …

Desertification due to climate change and increasing drought periods is a worldwide
problem for both ecology and economy. Our ability to understand how vegetation manages …

Autocrine signaling through the Epidermal Growth Factor Receptor (EGFR) operates at
various stages of development across species. A recent hypothesis suggested that a …

We present an analytical investigation of the bifurcation from stationary to traveling localized
solutions in a three-component reaction-diffusion system of arbitrary dimension with one …