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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…
math.AP2024
Oscillatory and regularized shock waves for a modified Serre-Green-Naghdi system
Daria Bolbot, Dimitrios Mitsotakis, Athanasios E. Tzavaras
The Serre-Green-Naghdi equations of water wave theory have been widely employed to study undular bores. In this study, we introduce a modified Serre-Green-Naghdi system incorporati…