13 citations · 13 across the 1 of their papers we have counts for
4 papers
Boussinesq-Peregrine water wave models and their numerical approximation
Theodoros Katsaounis, Dimitrios Mitsotakis, George Sadaka
In this paper we consider the numerical solution of Boussinesq-Peregrine type systems by the application of the Galerkin finite element method. The structure of the Boussinesq syst…
Hamiltonian regularisation of shallow water equations with uneven bottom
Didier Clamond, Denys Dutykh, Dimitrios Mitsotakis
The regularisation of nonlinear hyperbolic conservation laws has been a problem of great importance for achieving uniqueness of weak solutions and also for accurate numerical simul…
On some model equations for pulsatile flow in viscoelastic vessels
Dimitrios Mitsotakis, Denys Dutykh, Qian Li +1
Considered here is the derivation of partial differential equations arising in pulsatile flow in pipes with viscoelastic walls. The equations are asymptotic models describing the p…
On the multi-symplectic structure of Boussinesq-type systems. I: Derivation and mathematical properties
Angel Durán, Denys Dutykh, Dimitrios Mitsotakis
The Boussinesq equations are known since the end of the XIXst century. However, the proliferation of various \textsc{Boussinesq}-type systems started only in the second half of the…