By looking at the Γ-convergence of some easy functionals in terms of underlying Young measures, we emphasize the connection of this issue with the Monge-Kantorovich mass transfer problem. After exploring this relationship, we study a typical example in periodic homogenization to realize the difference between the Monge-Kantorovich problem and the usual cell-problem. We also state a version of t...

We investigate the limiting description for a finite-difference approximation of a singularly perturbed Allen–Cahn type energy functional. The key issue is to understand the interaction between two small length-scales: the interfacial thickness ε and the mesh size of spatial discretization δ. Depending on their relative sizes, we obtain results in the framework of Γ-convergence for the (i) subc...

In this paper, an approach to the shielding effectiveness evaluation of a metallic enclosure with apertures is discussed. It has been previously shown that a simple analytical transmission line formulation gives good predictions of the shielding effectiveness of a metallic enclosure with apertures. In this work the model is extended to include the fundamental formulas to deal with the cases of ...

The intramembrane protease γ-secretase is a key player in signaling and Alzheimer's disease, but its structural features have remained obscure. A structure reported recently reveals a horseshoe-shaped arrangement of 19 transmembrane helices and an extracellular domain positioned for substrate recognition. This advance bodes well for a finer resolution before long.

Kirkendall porosity that forms during interdiffusion in a diffusion couple of nickel-base superalloy CMSX-10 with pure nickel is investigated. The experiments are conducted at temperature 1250 °C, where the strengthening γ′-phase partially dissolved. studied by X-ray sub-μ tomography spatial resolution about 0.353 μm3 European Synchrotron Radiation Facility (ESRF) Grenoble, France. It found dep...

This paper presents a coupled approach able to describe γ'' precipitation evolution and associated yield strength after various thermal treatments in inconel 718 alloy. The precipitation state is modeled via the implementation of classical nucleation growth theories for plate-shaped particles. model validated through small-angle neutron scattering transmission electron microscopy experiments. s...

A new type of range searching problem, called the partial enclosure range searching problem, is introduced in this paper. Given a set of geometric objects S and a query region Q, our goal is to identify those objects in S which intersect the query region Q by at least a fixed proportion of their original size. Two variations of this problem are studied. In the first variation the objects in S a...

Environment size has been shown to influence the reliance on local and global geometric cues during reorientation. Unless changes in environment size are produced by manipulating length and width proportionally, changes in environment size are confounded by the amount of the environment that is visible from a single vantage point. Yet, the influence of the amount of the environment that is visi...

Organization of living environment is possible through a clear definition of private and public arenas and determinationof a spatial hierarchy. Such defined arenas increase the sense of belonging to the environment which personalizesresidential environments. Enclosure is among the quantities that play a significant role in defining the spaces. In fact,enclosure is the factor that defines a spac...