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Showing 2007 · math.APShow all
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math.AP2007★ 1k cited
The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
Adrian Constantin, David Lannes
In recent years two nonlinear dispersive partial differential equations have attracted a lot of attention due to their integrable structure. We prove that both equations arise in t…
math.AP2007★ 3 cited
Space Propagation of Instabilities in Zakharov Equations
Guy Metivier
In this paper we study an initial boundary value problem for Zakharov's equations, describing the space propagation of a laser beam entering in a plasma. We prove a strong instabil…
math.AP2007★ 39 cited
Influence of Bottom Topography on Long Water Waves
Florent Chazel
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…