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Asymptotic approach for the nonlinear equatorial long wave interactions
(2011-08-30)
In the present work we use an asymptotic approach to obtain the long wave equations. The shallow water equation is put as a function of an external parameter that is a measure of both the spatial scales anisotropy and the ...
Asymptotic approach for the nonlinear equatorial long wave interactions
(2011-08-30)
In the present work we use an asymptotic approach to obtain the long wave equations. The shallow water equation is put as a function of an external parameter that is a measure of both the spatial scales anisotropy and the ...
Do transience gravity waves in a shear flow break?
(John Wiley & Sons Ltd, 2008-07-10)
The propagation of transient gravity waves in a shear flow towards their critical levels is examined using a ray tracing approximation and a higher-degree (quasi-optic) approximation. Because of its transient forcing, the ...
Comparison of Navier-Stokes simulations with long-wave theory: Study of wetting and dewetting
(American Institute of Physics, 2013-11-07)
The classical long-wave theory (also known as lubrication approximation) applied to fluid spreading or retracting on a solid substrate is derived under a set of assumptions, typically including small slopes and negligible ...
Real trajectories in the semiclassical coherent state propagator
(Amer Inst PhysicsMelvilleEUA, 2005)
Simple estimation of linear 1+1 D long wave run-up
(Oxford University Press, 2017-05)
An analytical solution is derived concerning the linear run-up for any given initial wave generated over a sloping bathymetry. Due to the simplicity of the linear formulation, complex transformations are unnecessary, hence ...
Semiclassical propagation of coherent states using complex and real trajectories
(Amer Physical SocCollege PkEUA, 2005)
Bloch Floquet waves and localisation within a heterogeneous waveguide with long cracks
(2010)
A bi-material waveguide is assumed to have an array of sufficiently long cracks parallel to the boundaries. The BlochÂFloquet waves propagating along such a waveguide are dispersive, and the band gaps are clearly identified. ...
Punctual Padé approximants as a regularization procedure for divergent and oscillatory partial wave expansions of the scattering amplitude
(1977-01-01)
Previous theorems on the convergence of the [n,n + m] punctual Padé approximants to the scattering amplitude are extended. The new proofs include the cases of nonforward and backward scattering corresponding to potentials ...