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We propose a novel numerical algorithm for computing the electronic structure related eigenvalue problem of incommensurate systems. Unlike the conventional practice that approximates the system by a large commensurate supercell, our…

数值分析 · 数学 2019-03-27 Yuzhi Zhou , Huajie Chen , Aihui Zhou

Underground infrastructure such as pipelines and tunnels can be vulnerable to transient ground deformation (TGD) generated by earthquakes, traffic, and other vibration sources. Current design methods rely on simplified analytical models…

数值分析 · 数学 2025-11-26 Gersena Banushi

In this paper, the stability of longitudinal vibrations for transmission problems of two smart-system designs are studied: (i) a serially-connected Elastic-Piezoelectric-Elastic design with a local damping acting only on the piezoelectric…

偏微分方程分析 · 数学 2024-03-20 Mohammad Akil , Serge Nicaise , Ahmet Özkan Özer , Virginie Régnier

The geometric representation at a fixed frequency of the wavevector (or dispersion) surface $\omega(\vec k)$ for lossless, homogeneous dielectric--magnetic uniaxial materials is explored, when the elements of the relative permittivity and…

The Sagdeev-Zaslavski (SZ) equation for wave turbulence is analytically derived, both in terms of generating function and of multi-point pdf, for weakly interacting waves with initial random phases. When also initial amplitudes are random,…

统计力学 · 物理学 2017-09-12 Sergio Chibbaro , Giovanni Dematteis , Christophe Josserand , Lamberto Rondoni

A theoretical investigation has been made of electron acoustic wave propagating in unmagnetized collisionless plasma consisting of a cold electron fluid and isothermal ions with two different temperatures obeying Boltzmann type…

斑图形成与孤子 · 物理学 2010-04-14 S. A. El-Wakil , E. M. Abulwafa , E. K. El-Shewy , H. M. Abd-El-Hamid

We investigate the scattering of scalar plane waves in two dimensions by a heterogeneous layer that is periodic in the direction parallel to its boundary. On describing the layer as a union of periodic laminae, we develop a solution of the…

数学物理 · 物理学 2024-02-22 Prasanna Salasiya , Shixu Meng , Bojan B. Guzina

Planetary topography can either be modeled as a load supported by the lithosphere, or as a dynamical effect due to lithospheric flexure caused by mantle convection. In both cases the response of the lithosphere to external forces can be…

地球物理 · 物理学 2008-01-24 Mikael Beuthe

Registering periodic variations of spectral line widths serves as the main method for observing torsional Alfv\'{e}n waves. Theoretically, the method seems valid, yet it entails a number of caveats when applied to data. For instance, the…

太阳与恒星天体物理 · 物理学 2022-12-29 A. A. Chelpanov , N. I. Kobanov

The propagation of electromagnetic waves in a linearly-varying index of refraction is a fundamental problem in wave physics, being relevant in fusion science for describing certain wave-based heating and diagnostic schemes. Here, an exact…

光学 · 物理学 2025-04-10 N. A. Lopez

The paper extends the formulation of a 2D geometrically exact beam element proposed in our previous paper [1] to curved elastic beams. This formulation is based on equilibrium equations in their integrated form, combined with the kinematic…

计算工程、金融与科学 · 计算机科学 2022-10-06 Martin Horák , Emma La Malfa Ribolla , Milan Jirásek

In the previous works harmonic, phase-mixed, Alfven wave dynamics was considered both in the kinetic and magnetohydrodynamic regimes. Up today only magnetohydrodynamic, phase-mixed, Gaussian Alfven pulses were investigated. In the present…

太阳与恒星天体物理 · 物理学 2017-01-03 D. Tsiklauri

In this paper, we numerically investigate the propulsive performance of three-dimensional pitching flexible plates with varying flexibility and trailing edge shapes. To eliminate the effect of other geometric parameters, only the trailing…

流体动力学 · 物理学 2021-10-08 Guojun Li , Gael Kemp , Rajeev Kumar Jaiman , Boo Cheong Khoo

We present a new particle-based (discrete element) numerical method for the simulation of granular dynamics, with application to motions of particles on small solar system body and planetary surfaces. The method employs the parallel N-body…

地球与行星天体物理 · 物理学 2013-06-12 Derek C. Richardson , Kevin J. Walsh , Naomi Murdoch , Patrick Michel

In this paper we derive boundary integral identities for the bi-Laplacian eigenvalue problems under Dirichlet, Navier and simply-supported boundary conditions. By using these identities, we first obtain the uniqueness criteria for the…

偏微分方程分析 · 数学 2011-04-19 G. T. Lei

We present a methodology to perform inverse analysis on reconfigurable topological insulators for flexural waves in plate-like structures. First the unit cell topology of a phononic plate is designed, which offers two-fold degeneracy in the…

介观与纳米尺度物理 · 物理学 2021-10-27 Chuong Nguyen , S. S. Nanthakumar , Xiaoying Zhuang , Ludovic Chamoin , Yabin Jin , Timon Rabczuk

I utilize the Petrov-Galerkin formulation and develop a new method for solving the unsteady collisionless Boltzmann equation in both the linear and nonlinear regimes. In the first order approximation, the method reduces to a linear…

天体物理学 · 物理学 2009-11-13 Mir Abbas Jalali

The mass spectra of light-flavor mesons are analyzed in a deformed AdS/QCD soft-wall model, driven by four distinct anomalous 5-dimensional mass corrections of the scalar field, coupled to Einstein--Hilbert gravity, from the QCD running…

高能物理 - 唯象学 · 物理学 2024-12-24 Roldao da Rocha , Pedro H. O. Silva

We report experimental measurements of the translational and rotational dynamics of a large buoyant sphere in isotropic turbulence. We introduce an efficient method to simultaneously determine the position and (absolute) orientation of a…

流体动力学 · 物理学 2016-04-20 Varghese Mathai , Matthijs W. M. Neut , Erwin P. van der Poel , Chao Sun

We consider the dynamic elasticity equation, modeled by the Euler-Bernoulli plate equation, with a locally distributed singular structural (or viscoelastic ) damping in a boundary domain. Using a frequency domain method combined, based on…

偏微分方程分析 · 数学 2019-06-02 Kaïs Ammari , Fathi Hassine , Luc Robbiano