Water waves over a rough bottom in the shallow water regime

The deep ocean meridional circulation may then be conceptualized as composed of two dynamically distinct branches (Figs. 1b and 5; Talley 2013): a northward, diabatic branch

Despite the relatively weak local transports due to geothermal heating (Figs. 6 and 7), its peak transformation rate of 25.5 Sv at g 5 28.11 kg m 23 is of comparable magnitude to

In these balanced, i.e., waveless, flow regimes, gradients of the water height on scale L drive mean flows, which in conjunction with the short-range topography induce a

Elle a néanmoins plusieurs inconvénients : elle se prête mal aux techniques d’analyse harmonique ; la compréhension des calculs nécessite quelques connaissances en

From this derivation, we prove that solutions of the water waves equations, associated with well-prepared initial data, can be approximated in the shallow water regime, to within

Anterior models such as the shallow water and Boussinesq systems, as well as unidirectional models of Camassa-Holm type, are shown to descend from a broad Green-Naghdi model, that

In Section 3, we prove the equivalence between the Water-Waves equations and the Euler equations, which completes the study of the weak but not strong convergence to zero in

For general bottoms, the equations derived from (2.9) are not well-balanced and, therefore, the Lagrangian density (2.9) does not provide a suitable regularisation of the