The paper is devoted to investigation questions about constructing the explicit form of the
Green's function of the Robin problem in the unit ball of ℝ2. In constructing this function we …

A study of nonlinear axisymmetric Rayleigh-Bénard magnetoconvection in a cylindrical
enclosure filled with a dilute concentration of carbon-based nanotubes in a weakly …

This paper investigates a vibroacoustic model consisting of a flexible rectangular membrane
backed by an acoustic air cavity of large lateral extent. A traditional methodology (termed …

This paper presents a mathematical model and a numerical procedure to simulate an
acoustic well stimulation (AWS) method for enhancing the permeability of the rock formation …

This work proposes a semi-analytical method for simulation of the acoustic response of
multipole eccentered sources in a fluid-filled borehole. Assuming a geometry that is invariant …

In the paper, the derivation of Green's functions for Helmholtz equation in circular, annular
and exterior circular domains is presented. The Green's functions are assumed of the form a …

The paper introduces a high-order, adaptive finite-element method for simulation of sonic
measurements acquired with borehole-eccentered logging instruments. The resulting …

The effect of finite boundaries in the propagation of spatial nonlocal solitons in media with
cylindrical symmetry is analyzed. Using Ehrenfest's theorem together with the Green's …

In this paper, a method for construction of the time-dependent approximate Green's function
for the initial boundary value problem in a radially multilayered cylinder is suggested. This …

Borehole resistivity measurements are a common procedure when trying to obtain a better
characterization of the Earth's subsurface. The use of a casing surrounding the borehole …