this paper presents time domain fundamental solutions for the extended biot's dynamic formulations of two-dimensional (2d) unsaturated poroelasticity. unsaturated porous media is considered as a porous media in which the voids are saturated with two immiscible fluids, i.e. liquid and gas. at first, the corresponding explicit laplace transform domain fundamental solution is obtained in term...

We consider a classical linear conjugation problem for analytic vector-valued functions on piecewise smooth curve with triangular matrix coefficient in weighted H¨older spaces. In the twodimensional case, conditions existence of solution are found, this is given, and construction canonical function analyzed detail.

The paper presents the comparative analysis of optimization multi-element rod system under static and pulse loads at a variable number design parameters. It is shown that concept generalization variables can significantly reduce not only complexity solving problem, but also quality optimum solution. Approaches are proposed for generalizing multidimensional parameters twodimensional case restric...

Electron scattering is always applied as one of the routines to investigate nanostructures. Nowadays the development of hardware offers more and more prospect for this technique. For example imaging nanostructures with inelastic scattered electrons may allow to produce component-sensitive images with atomic resolution. Modelling inelastic electron scattering is therefore essential for interpret...