We consider singular perturbation elliptic problems depending on a parameter ε such that, for ε = 0 the boundary conditions are not adapted to the equation (they do not satisfy the Shapiro Lopatinskii condition). The limit only holds in very abstract spaces out of distribution theory involving complexification and non-local phenomena. We give a very elementary model problem showing the main fea...

In this study, a new speckle reduction method was proposed in terms of by Bidimensional Empirical Mode Decomposition (BEMD). In this method, the SAR image containing speckle noise was decomposed into a number of elementary components by using BEMD and then the extremal points are done the boundary equivalent extension after screening and the residual continue to be done the boundary equivalent ...

We have developed and analyzed coupled atmosphere-ocean polarized radiative transfer equations (RTE) system having flat boundary conditions at the interface between the two media. The boundary conditions depend on both reflection and transmission [1]. A study for analytical expressions for exit radiative intensities at any optical depth in the two media have been carried out using new version o...

There is a classical technique for determining the equilibrium probabilities of M/G/1 type Markov chains. After transforming the equilibrium balance equations of the chain, one obtains an equivalent system of equations in analytic functions to be solved. This method requires nding all singularities of a given matrix function in the unit disk and then using them to obtain a set of linear equatio...

Multitrace formulations (MTF) for boundary integral equations (BIE) were developed over the last few years in [4] and [1, 2] for the simulation of electromagnetic problems in piecewise constant media, see also [3] for associated boundary integral methods. The MTFs are naturally adapted to the developments of new block preconditioners, as indicated in [5], but very little is known so far about s...

Abstract. We discuss the decomposition of the ζ-determinant of the square of the Dirac operator into the contributions coming from the different parts of the manifold. The result was announced in [16] . The proof sketched in [16] was based on results of Brüning and Lesch (see [4]). In the meantime we have found another proof, more direct and elementary, and closer to the spirit of the original ...

We propose that the presence of Bouligand-like structure in the dactyl club of the stomatopod lead the material to exhibit wave fi ltering in addition to the already known mechanisms of macroscopic isotropy behavior and toughness. We use a propagator matrix approach, earlier introduced to study layered materials to simplify the treatment of the boundary value problem. The periodic nature of the...

This article describes the 11-year wave simulation (1992-2002) in the Persian Gulf and the Gulf of Oman using the input data derived from European Center for Medium-Range Weather Forecasts (ECMWF). The ECMWF 10 meter wind field and spectral wave boundary condition at 18 ْN degree are input into one of the latest versions of numerical wave models (3rd generation) after a few local modifications. ...

We have studied quantization and confinement effects in nanostructured superconductors. Three different types of nanostructured samples were investigated: individual structures (line, loop, dot), 1-dimensional (1D) clusters of loops and 2D clusters of antidots, and finally large lattices of antidots. Hereby, a crossover from individual elementary ”plaquettes”, via clusters, to huge arrays of th...