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The spatio-temporal spectrum of turbulent flows
(Springer, 2015-12)
Identification and extraction of vortical structures and of waves in a disorganised flow is a mayor challenge in the study of turbulence. We present a study of the spatio-temporal behavior of turbulent flows in the presence ...
Stationary shapes for 2-d water-waves and hydraulic jumps
(2016)
A hydraulic jump is a physical phenomenon commonly observed in nature such as in open channel flows or spillways and is dependent upon the relation between the initial upstream fluid speed and a critical speed characterized ...
Existence and stability of ground-state solutions of a Schrodinger-KdV system
(Royal Soc EdinburghEdinburghEscócia, 2003)
Nonlinear dynamics of short traveling capillary-gravity waves
(2005-02-01)
We establish a Green-Nagdhi model equation for capillary-gravity waves in (2+1) dimensions. Through the derivation of an asymptotic equation governing short-wave dynamics, we show that this system possesses (1 + 1) ...
Nonlinear dynamics of short traveling capillary-gravity waves
(2005-02-01)
We establish a Green-Nagdhi model equation for capillary-gravity waves in (2+1) dimensions. Through the derivation of an asymptotic equation governing short-wave dynamics, we show that this system possesses (1 + 1) ...
Edge capillary-gravity waves on a sloping beach
(2005)
It is shown how the solution for velocity potential may be determined when the effect of surface tension is included in the linearized theory of Ursell-type edge waves over a plane-sloping beach. The problem is examined ...
The Euler equations in the columnar and rotational approximation: A model equation for asymptotic short capillary-gravity waves
(2002-01-01)
From a columnar approximation of the Euler equations of an incompressible fluid with surface tension, we derive in the short-wave approximation a new classical 1+1 dimensional model equation for the motion of the surface. ...
Asymptotic solutions of the problem on standing capillary-gravity waves in a fluid at near-critical modes
(2003)
We construct asymptotic solutions of the nonlinear 2D problem on standing capillary-gravity waves at the interface between two fluids of different densities in the form of expansions in powers of the wave amplitude, which ...
Asymptotic solutions of the problem on standing capillary-gravity waves in a fluid at near-critical modes
(2003)
We construct asymptotic solutions of the nonlinear 2D problem on standing capillary-gravity waves at the interface between two fluids of different densities in the form of expansions in powers of the wave amplitude, which ...