Results 41 to 50 of about 15,892 (238)

New Drain Spacing Formulas Using the Variational Iteration Method

Irrigation and Drainage, EarlyView.
ABSTRACT In this study, the drain spacing is computed using the variational iteration method (VIM) to the linearized Boussinesq equation. By applying at most two iterations of the VIM method under three different initial condition scenarios, three equations for drain spacing calculation were derived. These equations predict values of drain spacing that
George Kargas, Leonidas Mindrinos, Paraskevi Londra   +2 more
wiley   +1 more source

Eigenfunctions on an infinite Schrödinger network

Open Mathematics
In this article, we show that there is a one-to-one correspondence between the eigenfunctions associated with the perturbed Laplacian operator Δq{\Delta }_{q} on a Schrödinger infinite network {X,t,q}\{X,t,q\} with weight function q(a)q\left(a) and the ...
Bajunaid Ibtesam, Venkataraman Madhu, Manivannan Varadha Raj   +2 more
doaj   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Zeros of eigenfunctions of some anharmonic oscillators [PDF]

, 2006
We study complex zeros of eigenfunctions of second order linear differential operators with real even polynomial potentials. For potentials of degree 4, we prove that all zeros of all eigenfunctions belong to the union of the real and imaginary axes. For
Boris Shapiro, Andrei Gabrielov, Alexandre Eremenko, Shapiro, Boris, Eremenko, Alexandre, Gabrielov, Andrei   +5 more
core   +1 more source

Basis Properties of Fučík Eigenfunctions

Analysis Mathematica, 2022
We establish sufficient assumptions on sequences of Fucik eigenvalues of the one-dimensional Laplacian which guarantee that the corresponding Fucik eigenfunctions form a Riesz basis in $L^2(0,π)$.
Baustian, F., Bobkov, V.
openaire   +3 more sources

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Arbeitsgemeinschaft: Quantum Ergodicity

, 2011
Quantum Ergodicity aims at understanding the eigenstates of quantum mechanical systems admitting chaotic classical limiting dynamics. A paradigmatic system is the Laplace-Beltrami operator on a compact manifold of negative sectional curvature: its ...
Bunke, Ulrich, Schubert, Roman, Then, Holger, Nonnenmacher, Stephane   +3 more
core   +1 more source

Diffraction by Circular Pin: Wiener–Hopf Method

Mathematics
In this paper, the boundary value problem of wave diffraction on a semi-infinite circular pin is solved using the Wiener–Hopf method with compensation of eigenmodes.
Seil Sautbekov, Merey Sautbekova, Gulnara Bairova   +2 more
doaj   +1 more source

Biorthogonality condition for creeping motion in annular trenches

International Journal of Mathematics and Mathematical Sciences, 2000
The biorthogonality condition for Stokes flow in annular trenches bounded by horizontal parallel planes and concentric vertical cylinders is derived. This condition, is needed to compute the coefficients of the eigenfunction expansion solution of the ...
Suheil A. Khuri
doaj   +1 more source

Interaction Between Vortex‐Induced Vibrations and Base Vibrations in Piezoelectric Harvesters

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT In the present era, powering sensors using green energy is a significant challenge. One promising solution for the power supply of small sensors relies on piezoelectric energy harvesters excited by vortex‐induced vibrations (VIVs) generated by wind.
Michele Tonan, Ilaria Palomba, Alberto Pasetto, Alberto Doria   +3 more
wiley   +1 more source