On the multi-symplectic structure of the Serre-Green-Naghdi equations

Key words and phrases: long wave approximation; nonlinear dispersive waves; shallow water equations; solitary waves.. MSC: [2010] 76B15 (primary), 76B25 (secondary) PACS:

However, we point out that these latter provide an overall good agreement with the reference solution, as shown in Table 1 where the relative error on the wave amplitude at t = 25 T

Left: modulus of the Fourier coefficients of the numer- ical solution to the SGN equations for solitary wave initial data with c = 2 at t=1; right: the difference between this

Nous tentons d’obtenir un mod`ele r´eduit aux ´equations de l’´ecoulement d’un fluide visqueux dans un canal peu profond.. Nous ne supposons pas l’amplitude des vagues comme

La gamme de systèmes radio lisa met à votre disposition, pour toutes les sources de signaux importantes, un émetteur adapté – pour votre téléphone, pour la sonnette de la

Cependant, ce manque de donnée n’est pas le point le plus pénalisant pour notre étude car l’analyse des modèles Ecosim s’est faite au regard de l’ajustement des

The proof of the energy estimate which permits the convergence of an iterative scheme to construct a solution to the extended Green Naghdi system (29) with surface tension for

Specifically, in [18] solving the full water wave equations using boundary element methods, it was shown that large amplitude waves can achieve a higher maximum runup during a