A mathematical model for rogue waves using Saint-Venant equations with friction

Alain-Yves Le Roux (1) , Marie-Noëlle Le Roux (1)

1 IMB - Institut de Mathématiques de Bordeaux

We propose to construct a temporary wave on the surface of the ocean, as a particular solution of the Saint-Venant equations with a source term involving the friction, whose shape is expected to mimic a rogue wave.

Mots clés: hyperbolic system; shocks; oceanic waves

Domaines: Analyse numérique [math.NA]

Alain-Yves Le Roux, Marie-Noëlle Le Roux. A mathematical model for rogue waves using Saint-Venant equations with friction. 2005. ⟨hal-00385540⟩