The paper deals with the edge diffraction of single charged Laguerre-Gaussian beam outside waist. Based on Kirchhoff-Fresnel integral, behavior optical vortex (OV) migration during sequential blocking by straight screen is performed analytically. Universal combination diffracting-beam parameters determining shape for OV spiral trajectories revealed. Parametric equations describing dislocation d...

This study presents the analytical formulation and finite element solution of a fractional-order nonlocal plate under both Mindlin Kirchhoff formulations. By employing consistent definitions for kinematic relations, governing equations associated boundary conditions are derived based on variational principles. Remarkably, model gives rise to self-adjoint positive-definite system that accepts un...

A class of Kirchhoff type systems with nonlinear boundary conditions considered in this paper. By using the method of Nehari manifold, it is proved that the system possesses two nontrivial nonnegative solutions if the parameters are small enough.

This paper deals with the existence and multiplicity of solutions for a perturbed nonlocal fourth-order class p(·)&q(·)-Kirchhoff elliptic systems under Navier boundary conditions. By using variational method Ricceri’s critical point theorem, we can find proper conditions to ensure that (p(x),q(x))-Kirchhoff has at least three weak solutions. We have extended improved some recent results. T...

in exploration seismology, migration refers to a multi-channel processing step that attempts to spatially re-position events and improve focusing. before migration, seismic data is usually displayed with traces plotted at the surface location of the receivers and with a vertical time axis. this means that dipping reflections are systematically mispositioned in the lateral coordinate and the ver...

Abstract The main aim of this article is to develop a new boundary element method (BEM) algorithm model and simulate the nonlinear thermal stresses problems in micropolar functionally graded anisotropic (FGA) composites with temperature-dependent properties. Some inside points are chosen treat terms domain integrals. An integral formulation which based on use Kirchhoff transformation firstly us...

Abstract Generalized impedance boundary conditions are effective approximate that describe scattering of waves in situations where the wave interaction with material involves multiple scales. In particular, this includes materials a thin coating (with thickness as small scale) and strongly absorbing materials. For acoustic from generalized conditions, approach taken here first determines Dirich...

We discuss the Kirchhoff gauge in classical electrodynamics. In this gauge the scalar potential satisfies an elliptical equation and the vector potential satisfies a wave equation with a nonlocal source. We find the solutions of both equations and show that, despite of the unphysical character of the scalar potential, the electric and magnetic fields obtained from the scalar and vector potentia...

Helical configurations of inhomogeneous symmetric rods with non-constant bending and twisting stiffness are studied within the framework of the Kirchhoff rod model. From the static Kirchhoff equations, we obtain a set of differential equations for the curvature and torsion of the centerline of the rod and the Lancret’s theorem is used to find helical solutions. We obtain a free standing helical...