The theoretical foundations of the boundary integral method are considered for inviscid monochromatic internal waves, and an analytical approach is presented solution equation oscillating bodies simple shape: elliptic cylinder in two dimensions, a spheroid three dimensions. combines coordinate stretching introduced by Bryan Hurley frequency range evanescent with analytic continuation to propaga...

Introduction: Surface integral methods based on the acoustic analogy and Kirchhoff formulation are widely employed in computational aeroacoustics. The accuracy is usually highly dependent selections of prediction method surfaces. Methods: This paper analyzes pros cons each aeroacoustic studies numerically sound generated from flow past a circular cylinder by employing different surface methods....

The diffraction of electromagnetic and light waves by an aperture in a plane conducting screen is a classical boundary value problem. As is well known, theoretical analysis aims at a solution of the vector Maxwell equations, which incorporates a prescribed form of excitation and satisfies appropriate boundary conditions on the screen and in the aperture. A small measure of progress towards this...

In this article, we study a class of Choquard–Kirchhoff type equations driven by the variable s(x,·)-order fractional p1(x,·) and p2(x,·)-Laplacian. Assuming some reasonable conditions with help variational methods, reach positive energy solution negative in an appropriate space functions. The main difficulties innovations are Choquard nonlinearities Kirchhoff functions presence double Laplace ...

Let G 1 + G 2 , G 1 • G 2 and G 1 {G 2 } be the join, corona and cluster of graphs G 1 and G 2 , respectively. In this paper, Kirchhoff index formulae of these composite graphs are given.

In this paper, we will consider the modelling of problems in linear elasticity on thin plates by the models of Kirchhoff–Love and Reissner– Mindlin. A fundamental investigation for the Kirchhoff plate goes back to Morgenstern [Herleitung der Plattentheorie aus der dreidimensionalen Elastizitätstheorie. Arch. Rational Mech. Anal. 4, 145–152 (1959)] and is based on the two-energies principle of P...