activity
19942021
most citedA nonlinear Schrödinger equation for water waves on finite depth with constant vorticity

91 citations · 298 across the 11 of their papers we have counts for

collaborators

13 papers

physics.ao-ph2021

Miles' mechanism for generating surface water waves by wind, in finite water depth and subject to constant vorticity flow

Norbert Kern, Christophe Chaubet, Roberto Kraenkel +1

The Miles theory of wave amplification by wind is extended to the case of finite depth h and a shear flow with (constant) vorticity Ω. Vorticity is characterised through the non-di…

physics.flu-dyn2012★ 91 cited

A nonlinear Schrödinger equation for water waves on finite depth with constant vorticity

Roland Thomas, Christian Kharif, Miguel Manna

A nonlinear Schrödinger equation for the envelope of two dimensional surface water waves on finite depth with non zero constant vorticity is derived, and the influence of this cons…

physics.flu-dyn2012

The growth of wind-waves in finite depth

P. Montalvo, J. Dorignac, M. A. Manna +2

In order to study the growth of wind waves in finite depth we extend Miles' theory to the finite depth domain. A depth-dependent wave growth rate is derived from the dispersion rel…

nlin.SI2011

An integrable evolution equation for surface waves in deep water

R. Kraenkel, H. Leblond, M. A. Manna

In order to describe the dynamics of monochromatic surface waves in deep water, we derive a nonlinear and dispersive system of equations for the free surface elevation and the free…

physics.flu-dyn2003★ 15 cited

A singular integrable equation from short capillary-gravity waves

M. A. Manna, A. Neveu

From a columnar approximation of the Euler equations of an incompressible fluid with surface tension, we derive in the short-wave approximation a new integrable classical 1+1 dimen…

nlin.PS2000

Asymptotic Dynamics of Ripples

M. A. Manna

A new nonlinear equation governing asymptotic dynamics of ripples is derived by using a short wave perturbative expansion on a generalized version of the Green-Naghdi system. It ad…