3 papers
math.AP2026
A high-order regularization of the non-linear shallow water equations with weakly singular shock waves and its approximation by finite volume methods
Rezwana Razzaque Angana, Dimitrios Mitsotakis
Considered herein is a high-order regularization of the nonlinear shallow water equations within the framework of water wave theory. The regularized system is Galilean invariant an…
math.NA2024
Bona-Smith-type systems in bounded domains with slip-wall boundary conditions: Theoretical justification and a conservative numerical scheme
Dimitrios Antonopoulos, Dimitrios Mitsotakis
Considered herein is a class of Boussinesq systems of Bona-Smith type that describe water waves in bounded two-dimensional domains with slip-wall boundary conditions and variable b…
physics.flu-dyn2024
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…