CHAZEL, Florent

doi:10.1051/m2an:2007041

Metadatos

Mostrar el registro completo del ítem

Licencia de uso del documento

CHAZEL, Florent
Institut de Mathématiques de Bordeaux [IMB]

Idioma

Article de revue

Este ítem está publicado en

ESAIM: Mathematical Modelling and Numerical Analysis. 2007, vol. 41, n° 4, p. 771-799

EDP Sciences

Resumen en inglés

We focus here on the water waves problem for uneven bottoms in the long-wave regime, on an unbounded two or three-dimensional domain. In order to derive asymptotic models for this problem, we consider two different regimes of bottom topography, one for small variations in amplitude, and one for strong variations. Starting from the Zakharov formulation of this problem, we rigorously compute the asymptotics expansion of the involved Dirichlet-Neumann operator. then, following the global strategy introduced by Bona, Colin and Lannes, new symetric asymptotic models are derived for each regime of bottom topography. Solutions of these systems are proved to give good approximations of solutions of the water waves problem. These results hold for solutions that evanesce at infinity as well as for spatially periodic ones.< Leer menos

Palabras clave en inglés

water-waves

uneven bottoms

bottom topography

long-wave approximation

asymptotic expansion

hyperbolic systems

Dirichlet-Neumann operator

Metadatos

Compartir este ítem

Licencia de uso del documento

Influence of Bottom Topography on Long Water Waves

Idioma

Este ítem está publicado en

Resumen en inglés

Palabras clave en inglés

URI

DOI

Orígen

Centros de investigación