‎In the present paper we investigate the $L_1$-weak ergodicity of‎ ‎nonhomogeneous continuous-time Markov processes with general state‎ ‎spaces‎. ‎We provide a necessary and sufficient condition for such‎ ‎processes to satisfy the $L_1$-weak ergodicity‎. ‎Moreover‎, ‎we apply‎ ‎the obtained results to establish $L_1$-weak ergodicity of quadratic‎ ‎stochastic processes‎.

Radiative heat transfer in three-dimensional nonhomogeneous participating medium was investigated by using REM 2 method. The anisotropic scattering phase function was dealt with the scaling technique based on delta function approximation. The three-dimensional scaled isotropic results were compared with the published anisotropic scattering computations. A good agreement between the scaled isotr...

Calcium mineral deposits are radiographically evident in the majority of significant atherosclerotic lesions.1 These deposits generally consist of a nonhomogeneous composite containing hydroxyapatite mineral nanocrystals embedded in an organic matrix including type I collagen nanofibers. The morphometry varies over a spectrum. Amorphous deposits lack organization at the lightmicroscopic scale, ...

Yearly electricity consumption trends of most developing countries usually exhibit approximately exponential growth curves. An optimized nonhomogeneous exponential model (ONEM) is proposed as a method of forecasting electricity consumption by using trend extrapolation. The parameters of the nonhomogeneous exponential equation are obtained by using the inverse accumulated generating operation, d...

In this work, a class of new finite-element methods, called immersed-interface finite-element methods, is developed to solve elliptic interface problems with nonhomogeneous jump conditions. Simple non–body-fitted meshes are used. A single function that satisfies the same nonhomogeneous jump conditions is constructed using a level-set representation of the interface. With such a function, the di...

We discuss a diffusively perturbed predator-prey system. Freedman and Wolkowicz showed that the corresponding ODE can have a periodic solution that bifurcates from a homoclinic loop. When the diffusion 6oefficients are large, this solution represents a stable, spatially homogeneous time-periodic solution of the PDE. We show that when the diffusion coefficients become small, the spatially homoge...

A large class of physically important nonlinear and nonhomogeneous evolution problems, characterized by advection-like and diffusion-like processes, can be usefully studied by a time-differential form of Kolmogorov’s solution of the backward-time Fokker-Planck equation. The differential solution embodies an integral representation theorem by which any physical or mathematical entity satisfying ...

To cite this version: Nadal, Clément and Pigache, François Multimodal electromechanical model of piezoelectric transformers by Hamilton's principle. OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible. Abstract—This work deals with a general energetic approach to establish an accurate electromechanical model...

Traditional detection approaches for the dim moving target are addressed under the background of homogeneous sea clutter. However, the realistic clutter commonly appears inhomogeneous, resulting in the low detectability. A heterogeneous multiple-scan detection framework is described in this paper, which combines the inhomogeneous coherent integration in the dwell of single scan and the non-cohe...

source localization is an essential part of array signal processing including radar, sonar, seismology and oceanography applications. the performance of the presented source localization methods are degraded substantially in practical situations. one of the conditions which decreases the performance o