33 citations · 148 across the 13 of their papers we have counts for
15 papers
Mechanical balance laws for two-dimensional Boussinesq systems
Chourouk El Hassanieh, Samer Israwi, Henrik Kalisch +2
Most of the asymptotically derived Boussinesq systems of water wave theory for long waves of small amplitude fail to satisfy exact mechanical conservation laws for mass, momentum a…
Equations for small amplitude shallow water waves over small bathymetric variations
Samer Israwi, Youssef Khalifeh, Dimitrios Mitsotakis
A generalized version of the -Boussinesq class of systems is derived to accommodate variable bottom topography in two-dimensional space. This extension allows for the conserv…
Mathematical modeling and numerical analysis for the higher order Boussinesq system
Bashar Bhorbatly, Ralph Lteif, Samer Israwi +1
This study deals with higher-ordered asymptotic equations for the water-waves problem. We considered the higher-order/extended Boussinesq equations over a flat bottom topography in…
A regularized shallow-water waves system with slip-wall boundary conditions in a basin: Theory and numerical analysis
Samer Israwi, Henrik Kalisch, Theodoros Katsaounis +1
The simulation of long, nonlinear dispersive waves in bounded domains usually requires the use of slip-wall boundary conditions. Boussinesq systems appearing in the literature are…
Approximate Conservation Laws in the KdV Equation
Samer Israwi, Henrik Kalisch
The Korteweg-de Vries equation is known to yield a valid description of surface waves for waves of small amplitude and large wavelength. The equation features a number of conserved…
A Mathematical Justification of the Momentum Density Function Associated to the KdV Equation
Samer Israwi, Henrik Kalisch
Consideration is given to the KdV equation as an approximate model for long waves of small amplitude at the free surface of an inviscid fluid. It is shown that there is an approxim…
On the generalized nonlinear Camassa-Holm equation
Mohamad Darwich, Samer Israwi, Raafat Talhouk
In this paper, a generalized nonlinear Camassa-Holm equation with time- and space-dependent coefficients is considered. We show that the control of the higher order dispersive term…
Well-posedness of the Green-Naghdi and Boussinesq-Peregrine systems
Vincent Duchêne, Samer Israwi
In this paper we address the Cauchy problem for two systems modeling the propagation of long gravity waves in a layer of homogeneous, incompressible and inviscid fluid delimited ab…
A new class of two-layer Green-Naghdi systems with improved frequency dispersion
Vincent Duchêne, Samer Israwi, Raafat Talhouk
We introduce a new class of Green-Naghdi type models for the propagation of internal waves between two (1+1)-dimensional layers of homogeneous, immiscible, ideal, incompressible, i…
An improved result for the full justification of asymptotic models for the propagation of internal waves
Samer Israwi, Ralph Lteif, Raafat Talhouk
We consider here asymptotic models that describe the propagation of one-dimensional internal waves at the interface between two layers of immiscible fluids of different densities,…
Shallow water asymptotic models for the propagation of internal waves
Vincent Duchene, Samer Israwi, Raafat Talhouk
We are interested in asymptotic models for the propagation of internal waves at the interface between two shallow layers of immiscible fluid, under the rigid-lid assumption. We rev…
A new fully justified asymptotic model for the propagation of internal waves in the Camassa-Holm regime
Vincent Duchene, Samer Israwi, Raafat Talhouk
This study deals with asymptotic models for the propagation of one-dimensional internal waves at the interface between two layers of immiscible fluids of different densities, under…
Derivation and analysis of a new 2D Green-Naghdi system
Samer Israwi
We derive here a variant of the 2D Green-Naghdi equations that model the propagation of two-directional, nonlinear dispersive waves in shallow water. This new model has the same ac…
Large Time existence For 1D Green-Naghdi equations
Samer Israwi
We consider here the Green-Naghdi equations that are commonly used in coastal oceanography to describe the propagation of large amplitude surface waves. We show that the solu…
Variable depth KDV equations and generalizations to more nonlinear regimes
Samer Israwi
We study here the water-waves problem for uneven bottoms in a highly nonlinear regime where the small amplitude assumption of the Korteweg-de Vries (KdV) equation is enforced. It i…