The Harmonic Oscillator Description of Longitudinal (Marangoni-Lucassen) Waves at Liquid InterfacesLet us consider two liquid layers at rest with an interface between them located at z = 0; z is the vertical coordinate say. Let η, ν (η = ρν), D and ρ denote the corresponding dynamic...
It is shown that the permittivity tensor could be written as a summation of two parts: Hermitian and non-Hermitian parts. Furthermore, the generalized dispersion relations are investigated for transverse and longitudinal modes. In the absence of gravitation effects, correctness of the obtained results...
Resting-state functional magnetic resonance imaging (MRI) has yielded seemingly disparate insights into large-scale organization of the human brain. The brain’s large-scale organization can be divided into two broad categories: zero-lag representations
elongation measurements — sometimes called normal or axial strains— are often calculated for directions oriented radially outward from the center of the heart (radial strain), circumferentially within the myocardium (circumferential strain), or parallel to the long axis of the heart (longitudinal ...
in which the ionosphere has some unique characteristic compared with the American sector such as the known east–west longitudinal differences (Zhao et al.2013). The southwest of China is located in the northern crest of the equatorial ionization anomaly (EIA) and near to the Qinghai–Tibet plat...
(b) Representation of the longitudinal cut (xz plane) of the bean, with selected morphological structures. (c) External surface of seed coat. (d) Transversal cut of seed coat: ms. Macrosclereids, os. Osteosclereids. (e) h. Hilum, m. Micropyle, r. Raphe. (f) Transversal cut of the...
Here we consider longitudinal waves propagating in an isotropic, homogeneous, elastic flat thin plate. Thickness effects are ignored. The continuum model has elastic modulus \(E\), Poisson’s ratio \(\nu \), shear modulus \(G=E/(2(1+\nu ))\), mass density \(\rho \), and uniform ...
Augustin M, Schommers P, Stecher M, Dewald F, Gieselmann L, Gruell H, et al. Post-COVID syndrome in non-hospitalised patients with COVID-19: a longitudinal prospective cohort study. Lancet Reg Health Eur. 2021;6:100122. ArticlePubMedPubMed CentralGoogle Scholar ...
solitons/ longitudinal strain solitary wavesrodquadratic nonlinear termscubic nonlinear termswave propagationtravelling wave solutionsIt is found that simultaneous existence of compressive and tensile localized strain solitary waves in a rod can be described by the model equation containing both quadratic and...
The considerations are extended to include the case of radiation transmitted inside waveguides. The relativistic mechanics and field description of longitudinal massive photons associated with trapped radiation have been developed. The time-like Proca wave equation and its space-like counterpart are ...