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…