Results 11 to 20 of about 1,744 (163)

Inhomogeneous isotropic quantum spin chain associated with the difference Lamé equation

open access: yesForum of Mathematics, Sigma
The spectrum and orthogonal eigenbasis are computed of a tridiagonal matrix encoding a finite-dimensional reduction of the difference Lamé equation at the single-gap integral value of the coupling parameter.
Jan Felipe van Diejen
doaj   +2 more sources

Analytical Computation of Hyper-Ellipsoidal Harmonics

open access: yesMathematics
The four-dimensional ellipsoid of an anisotropic hyper-structure corresponds to the four-dimensional sphere of an isotropic hyper-structure. In three dimensions, both theories for spherical and ellipsoidal harmonics have been developed by Laplace and ...
George Dassios, George Fragoyiannis
doaj   +2 more sources

WEB-Spline Finite Elements for the Approximation of Navier-Lamé System with CA,B Boundary Condition

open access: yesAbstract and Applied Analysis, 2020
The objective of this article is to discuss the existence and the uniqueness of a weighted extended B-spline- (WEB-spline-) based discrete solution for the 2D Navier-Lamé equation of linear elasticity with a different type of mixed boundary condition ...
Ouadie Koubaiti   +2 more
doaj   +2 more sources

Recovery of discontinuous Lamé parameters from exterior Cauchy data

open access: yes, 2021
Consider an isotropic elastic medium (Formula presented.) whose Lamé parameters are piecewise smooth. In the elastic wave initial value inverse problem, we are given the solution operator for the elastic wave equation, but only outside Ω and only for ...
de Hoop, Maarten V.   +3 more
core   +1 more source

Analysis of the Stress State for a Layer with Two Incut Cylindrical Supports

open access: yesJournal of Mechanical Engineering, 2023
The stress state of a homogeneous isotropic layer under the action of a spatial static external load is studied. Two circular cylindrical supports are cut into the body of the layer parallel to its borders.
Vitalii Yu. Miroshnikov   +3 more
doaj   +1 more source

Isogeometric boundary element method for the Lamé-equation [PDF]

open access: yes, 2019
In dieser Arbeit betrachten wir das Dirichlet-Randwertproblem fur die homogene Lamé-Gleichung für lineare Elastizität in zwei Dimensionen. Die Lamé-Gleichung kann äaquivalent als System von Randintegralgleichungen formuliert werden.
Kainz, Juliana
core   +1 more source

Statistical mechanics of Lamé solitons [PDF]

open access: yes, 2006
We study the exact statistical mechanics of Lamé solitons using a transfer matrix method. This requires a knowledge of the first forbidden band of the corresponding Schrödinger equation with the periodic Lamé potential.
Saxena, Avadh   +3 more
core   +1 more source

Thermo-elasto-hydrodynamic analysis of bump-type air foil thrust bearings considering misalignment [PDF]

open access: yesBulletin of the Polish Academy of Sciences: Technical Sciences, 2023
In this study, a multi-pad bump-type foil thrust bearing with a taper-land height profile is investigated. A detailed thermo-elastohydrodynamic (TEHD) finite element (FE) model is used comprising all bearing pads instead of only a single pad.
Markus Eickhoff   +2 more
doaj   +1 more source

Algebraic solutions of the Lamé equation, revisited

open access: yes, 2004
A minor error in the necessary conditions for the algebraic form of the Lamé equation to have a finite projective monodromy group, and hence for it to have only algebraic solutions, is pointed out (see Baldassarri, J. Differential Equations 41 (1) (1981)
Maier, Robert S.
core   +1 more source

Benjamin–Feir type instability of Sine–Gordon equation and spectrum of Lamé equation

open access: yes, 2007
The Benjamin–Feir type instability of the nonhomoclinic wavetrain solution of the Sine–Gordon equation against the spatially periodic small perturbation is observed by relating the Fourier coefficients of the first order approximate solution of Fourier ...
Okaue, D.   +4 more
core   +1 more source

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