The Cauchy-Poisson waves in an inviscid rotating stratified liquid.
The dock problem revisited.
The existence of global solutions to the elliptic-hyperbolic Davey-Stewartson system with small initial data
The modulational regime of three-dimensional water waves and the Davey-Stewartson system
The shallow water equations: Conservation laws and symplectic geometry.
The Singularity Expansion Method applied to the transient motions of a floating elastic plate
In this paper we propose an original approach for the simulation of the time-dependent response of a floating elastic plate using the so-called Singularity Expansion Method. This method consists in computing an asymptotic behaviour for large time obtained by means of the Laplace transform by using the analytic continuation of the resolvent of the problem. This leads to represent the solution as the sum of a discrete superposition of exponentially damped oscillating motions associated to the poles...
Theoretical and numerical aspects of stochastic nonlinear Schrödinger equations
We describe several results obtained recently on stochastic nonlinear Schrödinger equations. We show that under suitable smoothness assumptions on the noise, the nonlinear Schrödinger perturbed by an additive or multiplicative noise is well posed under similar assumptions on the nonlinear term as in the deterministic theory. Then, we restrict our attention to the case of a focusing nonlinearity with critical or supercritical exponent. If the noise is additive, smooth in space and non degenerate,...
Transient development of gravity waves for two layered fluids.
Transmission of obliquely incident surface waves through a narrow gap.
Travelling water-waves, as a paradigm for bifurcations in reversible infinite dimensional “dynamical" systems.
Two-dimensional source potentials in a two-fluid medium for the modified Helmholtz equation.