In this paper we study a model for phase segregation consisting in a sistem of a partial and an ordinary differential equation. By a careful definition of maximal solution to the latter equation, this system reduces to an Allen-Cahn equation with a memory term. Global existence and uniqueness of a smooth solution are proven and a characterization of the ω-limit set is given.

Does R&D have an impact on firm growth, profits, and value? To most observers, the obvious answer is yes. However, the recent report by Booz-Allen-Hamilton (BAH 2006) seems to conclude that the share of spending devoted to research has no relationship to the economic performance of an enterprise, and offers support to the view that it is possible to compete successfully in the modern economy wi...

It is well established that the dizygotic (DZ) twinning rate increases with maternal age until about age 38 and thereafter declines, and that within each maternal age category, it increases (apparently indefinitely) with parity [5]. Interpretation of this increase with parity is not immediately clear. One may formulate two hypotheses, one or both of which may be true. Hypothesis 1: Twin-prone w...

We consider front propagation problems for forced mean curvature flows with a transport term and their phase field variants that take place in stratified media, i.e., heterogeneous media whose characteristics do not vary in one direction. We provide a convergence result relating asymptotic in time front propagation in the diffuse interface case to that in the sharp interface case, for suitably ...

MARY M. GROSSMANN, ALLEN G. COLLINS & DHUGAL J. LINDSAY Yokohama City University, 236-0027 Yokohama, Japan Okinawa Institute of Marine Science and Technology (OIST), 904-0495 Onna, Okinawa, Japan National Systematics Laboratory, National Museum of Natural History, MRC-153, Smithsonian Institution, P.O. Box 37012, Washington, DC 20013-7012, USA Japan Agency for Marine–Earth Science and Technolog...

We investigate the influence of refractive index contrast on the light scattering properties of nanotextured interfaces, which serve as front contact for p-i-n thin-film silicon solar cells. We here focus on ZnO surfaces with randomly oriented pyramidal features, known for their excellent light trapping performance. Transparent replicas, with a different refractive index, but practically identi...

MapReduce [10] gives us an appropriate model for distributed parallel computing. There are several features which are proved useful: 1) centralized job distribution. 2) Fault tolerance mechanism for both masters and workers. Although there is controversies about MapReduce capability to replace standard RDBMS [12, 13], it is reasonable that existing proposals to use MapReduce in relational data ...