2 papers
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…
math.AP2022
Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics
Daria Bolbot, Dimitrios Mitsotakis, Athanasios E. Tzavaras
The aim is to assess the combined effect of diffusion and dispersion on shocks in the moderate dispersion regime. For a diffusive dispersive approximation of the equations of one-d…