We establish uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov (KGZ) system with a dimensionless parameter ε ∈ (0, 1], which is inversely proportional to the acoustic speed. In the subsonic limit regime, i.e. 0 < ε ≪ 1, the solution propagates highly oscillatory waves in time and/or rapid outgoing initial layers in space due to the singular perturbation in the Zak...

We investigate the asymptotic behavior, as ε tends to 0+, of the transverse displacement of a Kirchhoff-Love plate composed of two domains Ωε ∪ Ω − ε , contained in the (x1, x2)-coordinate plane and depending on ε in the following way. The first domain Ωε is a thin strip with vanishing height hε (in direction x2), as ε tends to 0+. The second one Ωε is a comb with fine teeth, having small cross...

We derive closure relations for a plasma fluid model, issued from the BGK equation for electrons in a strong magnetic-field. Our scaling of the BGK equation leads in the asymptotic limit ε → 0 towards the adiabatic electron regime, where ε embodies the scaled Larmor radius as well as a low Mach number. In this regime the electron density adjusts instantaneously to perturbations of the electric ...

In this paper we study a diffuse interface generalized antiferromagnetic model. The functional describing the model contains Modica–Mortola type local term and nonlocal in competition. competition between two terms results frustrated system which is believed to lead emergence of wide variety patterns. sharp limit our considered [23] [10]. discrete setting it has been previously studied [16], [1...

This paper considers a bi-objective mathematical model for locations of landfills, transfer stations and material recovery facilities (MRFs) in order to serve the entire regions and simultaneously identify the capacities of landfills. This is a mixed-integer programming (MIP) model, whose objectives are to minimize the total cost and pollution simultaneously. To validate the model, a numerical ...

We report optical properties of iron pyrite (FeS2) determined from ex situ spectroscopic ellipsometry measurements made on both a commercially available bulk single crystal and nanocrystalline thin film over a spectral range of 0.735-5.887 eV. The complex dielectric function, ε (E) = ε 1 (E) + iε 2 (E), spectra have been determined by fitting a layered parametric model to the ellipsometric meas...

This article is on the simultaneous diffusion approximation and homogenization of the linear Boltzmann equation when both the mean free path ε and the heterogeneity length scale η vanish. No periodicity assumption is made on the scattering coefficient of the background material. There is an assumption made on the heterogeneity length scale η that it scales as ε for β ∈ (0,∞). In one space dimen...

This study presents dielectric properties of North Indian Ocean seawater. In all, fourteen seawater samples are collected from Arabian Sea, Lakshadweep Sea, Tip of Bay of Bengal Sea, deep Indian Ocean and Equatorial region. The Von Hipple method is used to measure dielectric properties, both real part ε' and imaginary ε'', at 5 GHz and 30 °C using automated C-Band microwave bench set up. The di...

In this article, we are interested in the behavior of a three-dimensional model periodic perforated piezoelectric plate, when thickness h plate and size ε holes small. We study dependence displacements electric potential on ε, give equivalent limits tend towards zero. compute analytical formulae for all effective properties plate.

In this paper we study graph problems in dynamic streaming model, where the input is defined by a sequence of edge insertions and deletions. As many natural problems require Ω(n) space, where n is the number of vertices, existing works mainly focused on designing Õ(n) space algorithms. Although sublinear in the number of edges for dense graphs, it could still be too large for many applications ...