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High-Frequency Instabilities of the Ostrovsky Equation [PDF]
Water Waves, 2022 We study spectral stability of small amplitude periodic traveling waves of the Ostrovsky equation. We prove that these waves exhibit spectral instabilities arising from a collision of pair of non-zero eigenvalues on the imaginary axis when subjected to square integrable perturbations on the whole real line. We also list all such collisions between pair
null Bhavna +2 more
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Homogenization of the Maxwell Equations at Fixed Frequency [PDF]
SIAM Journal on Applied Mathematics, 2003 The homogenization of the Maxwell equations at fixed frequency is addressed in this paper. The notion of two-scale convergence is employed to solve the homogenization problem. A new a priori estimate is obtained as well as a new result on the correctors.
Wellander, Niklas, Kristensson, Gerhard
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Comparison of dominant frequency attenuation of blasting vibration for different charge structures
Journal of Rock Mechanics and Geotechnical Engineering, 2022 Dominant frequency attenuation is a significant concern for frequency-based criteria of blasting vibration control. It is necessary to develop a concise and practical prediction equation describing dominant frequency attenuation.
Pengchang Sun +5 more
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Linearized frequency domain Landau-Lifshitz-Gilbert equation formulation
AIP Advances, 2023 We present a general finite element linearized Landau-Lifshitz-Gilbert equation (LLGE) solver for magnetic systems under weak time-harmonic excitation field.
Zhuonan Lin, Vitaliy Lomakin
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He’s frequency formula to fractal undamped Duffing equation
Journal of Low Frequency Noise, Vibration and Active Control, 2021 Nonlinear oscillation is an increasingly important and extremely interesting topic in engineering. This article completely reviews a simple method proposed by Ji-Huan He and successfully establishes a fractal undamped Duffing equation through the two ...
Guang-Qing Feng
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Frequency locking in an injection-locked frequency divider equation [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2008 We consider a model for a resonant injection-locked frequency divider, and study analytically the locking onto rational multiples of the driving frequency. We provide explicit formulae for the width of the plateaux appearing in the devil's staircase structure of the lockings, and in particular show that the largest plateaux correspond to even integer ...
Bartuccelli, MV, Deane, JHB, Gentile, G
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An Exact Dynamic Analysis Method for Shallow Sagged Cables
Xibei Gongye Daxue Xuebao, 2020 With the increase of the span and height of modern engineering structures, the design complexity of the cable structure is constantly increasing, whose dynamic problem has become the key to structural design, performance monitoring and maintenance, and ...
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AIP Advances, 2022 This study investigates the physical significance of the dimensionless Zakharov equation ZE, which theoretically describes the interaction between high-frequency Langmuir waves and low-frequency ion-acoustic waves.
A. M. Algelany +2 more
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Phase Velocity and Attenuation of Longitudinal Shear Vibrations of Hollow Poroelastic Cylinders
International Journal of Applied Mechanics and Engineering, 2014 The present paper is devoted to the study of phase velocity and attenuation of longitudinal shear vibrations of hollow poroelastic circular cylinders in the presence of dissipation.
S. Ahmed Shah, S. Javvad Hussaini
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Magnetic Vortex Core String Gyrotropic Oscillations in Thick Cylindrical Dots
Magnetism, 2022 The nonuniform magnetic vortex gyrotropic oscillations along the cylindrical dot thickness were calculated. A generalized Thiele equation was used for describing the vortex core motion including magnetostatic and exchange forces.
Konstantin Guslienko
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