in this paper, we investigate infinite product representation of the solution of a sturm-liouville equation with an indefinite weight function which has two zeros and/or singularitiesin a finite interval. first, by using of the asymptotic estimates provided in [w. eberhard, g.freiling, k. wilcken-stoeber, indefinite eigenvalue problems with several singular pointsand turning points, math. nachr...

In this paper we consider an acoustic waveguide with random fluctuations of its sound speed profile. These random perturbations are assumed to have long-range correlation properties. In waveguides a monochromatic wave can be decomposed in propagating modes and evanescent modes, and the random perturbation couples all these modes. Using asymptotic analysis of the modecoupling mechanism we give a...

In this paper, we use the optimal homotopy asymptotic method (OHAM) for the solution of Non-linear two dimensional incompressible laminar boundary layer flow of fluid in the presence of transverse magnetic field. The obtained results for the stream function and velocity profile were comparable in terms of accuracy with that obtained by A. Abdullah (2009) who studied the heat transfer problem us...

Three-dimensional gyrokinetic simulations of microturbulence in magnetically confined toroidal plasmas with massively parallel computers showed that, with linear flow damping, an asymptotic residual flow develops in agreement with analytic calculations. Nonlinear global simulations of instabilities driven by temperature gradients in the ion component of the plasma support the view that turbulen...

We shall prove asymptotic stability results for nonlinear bipolar drift-diffusion-Poisson Systems arising in semiconductor device modeling and plasma physics in one space dimension. In particular, we shall prove that, under certain structural assumptions on the external potential and on the doping profile, all solutions match for large times with respect to all q–Wasserstein distances. We also ...

We study the asymptotic behavior for nonlocal diffusion models of the form ut = J ∗ u − u in the whole R or in a bounded smooth domain with Dirichlet or Neumann boundary conditions. In R we obtain that the long time behavior of the solutions is determined by the behavior of the Fourier transform of J near the origin, which is linked to the behavior of J at infinity. If Ĵ(ξ) = 1 − A|ξ| + o(|ξ|) ...

An inverse nodal problem has first been studied for the Sturm-Liouville equation with one turning point. The asymptotic representation of the corresponding eigenfunctions of the eigenvalues has been investigated and an asymptotic of the nodal points is obtained. For this problem, we give a reconstruction formula for the potential function. Furthermore, numerical examples have been established a...

A digital search tree (DST) – one of the most fundamental data structures on words – is a digital tree in which keys (strings, words) are stored directly in (internal) nodes. Such trees find myriad of applications from the popular LempelZiv’78 data compression scheme to distributed hash tables. The profile of a DST measures the number of nodes at the same distance from the root; it is a functio...

This paper is devoted to the study of asymptotic behavior principal eigenvalue and basic reproduction ratio associated with periodic population models in a patchy environment for small large dispersal rates. We first deal eigenspace corresponding zero connectivity matrix. Then we investigate limiting profile an problem as rate goes infinity, respectively. further establish case Finally, apply t...