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View article: Oscillatory and regularized shock waves for a modified Serre–Green–Naghdi system
Oscillatory and regularized shock waves for a modified Serre–Green–Naghdi system Open
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 incorporating the effect of an artificial term that results in dispers…
View article: Oscillatory and regularized shock waves for a modified Serre-Green-Naghdi system
Oscillatory and regularized shock waves for a modified Serre-Green-Naghdi system Open
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 incorporating the effect of an artificial term that results in dispers…
View article: Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics
Dispersive shocks in diffusive-dispersive approximations of elasticity and quantum-hydrodynamics Open
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-dimensional elasticity (or p-system), we study convergence o…