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Weakly Nonlinear Internal Waves in Shear

Studies in Applied Mathematics, 1981
An evolution equation in a finite depth fluid for weakly nonlinear long internal waves is derived in a stratified and sheared medium. The equation reduces to the Korteweg‐deVries equation when the depth is small compared to the wavelength, and to the Benjamin‐Ono equation when the depth is large compared to the wavelength.
Tung, Ka-Kit   +2 more
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Nonlinear internal gravity wave beams

Journal of Fluid Mechanics, 2003
Based on linear inviscid theory, a two-dimensional source oscillating with frequency $\omega_{0}$ in a uniformly stratified (constant Brunt–Väisälä frequency $N_{0}$) Boussinesq fluid induces a steady-state wave pattern, also known as St Andrew's Cross, that features four straight wave beams stretching radially outwards from the source at angles $\pm ...
Tabaei, Ali, Akylas, T. R.
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Nonlinear Internal Waves in Multilayer Shallow Water

Journal of Applied Mechanics and Technical Physics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liapidevskii, V. Yu.   +3 more
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Nonlinear internal waves in the atmosphere

The Journal of the Acoustical Society of America, 1975
Nonlinear dispersive effects on the propagation of atmospheric internal waves are investigated. The finite amplitude buoyancy oscillation is analyzed to obtain an amplitude−dependent oscillation frequency. A nonlinear dispersion relation for finite−amplitude internal waves is derived. Its relation to the nonlinear buoyancy oscillation is discussed. The
Cho, H. R., Liu, C. H., Yeh, K. C.
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Nonlinear internal wave interactions

AIP Conference Proceedings, 1981
We are presently engaged in the direct numerical calculation of the interactions among a set of random internal gravity waves. The calculations are in 2‐D using a pseudo‐spectral code of 128×128 spectral components. They are initialized using the Garrett‐Munk spectrum.
M. A. Weissman   +2 more
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Model of Lidar Images of Nonlinear Internal Waves

Известия Российской академии наук. Физика атмосферы и океана, 2014
An analytical model of a lidar image of a nonlinear internal wave (IW) described by the Kortewegde Vries equation (KdV) is developed. Peculiarities of lidar images of the nonlinear IW are processed and analyzed using real profiles of hydrooptical and hydrological characteristics in the Barents Sea.
L. S. Dolin, I. S. Dolina
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Nonlinear Internal Waves in the Shelf Zone of the Sea

Fluid Dynamics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kukarin, V. F.   +3 more
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Nonlinear internal waves in a one-dimensional channel

Il Nuovo Cimento C, 1987
By applying a perturbation technique to the Euler equation for a two-layer fluid we show that the evolution of the interface is described by a Korteweg-de Vries equation. This model is applied to describe the tide generation of internal waves in the Straits of Gibraltar.
ARTALE V, LEVI, Decio
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Internally generated nonlinear waves in filament bundles

Mathematics and Computers in Simulation, 2007
We develop a geometrical approach for the relative sliding (shear) between filaments in a bundle subjected to bending and twisting deformations, with applications to motility in flagellated cells. Particular examples for helical and toroidal shapes, and combinations of these, are discussed. The resulting equations for sliding, expressed in terms of the
Andrei Ludu, N. Hutchings
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