most citedOn the well-posedness of the Galerkin semidiscretization of the periodic initial-value problem of the Serre equations

2 citations · 2 across the 2 of their papers we have counts for

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2 papers

math.NA2021★ 2 cited

On the well-posedness of the Galerkin semidiscretization of the periodic initial-value problem of the Serre equations

D. C. Antonopoulos, V. A. Dougalis, D. E. Mitsotakis

We consider the periodic initial-value problem for the Serre equations of water-wave theory and its semidiscrete approximation in the space of smooth periodic polynomial splines. W…

math.NA2020

Galerkin finite element methods for the numerical solution of two classical-Boussinesq type systems over variable bottom topography

G. Kounadis, D. C. Antonopoulos, V. A. Dougalis

We consider two `Classical' Boussinesq type systems modelling two-way propagation of long surface waves in a finite channel with variable bottom topography. Both systems are derive…