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math.AP2023
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…
physics.flu-dyn2023
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…