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5 papers · 2 filters
Almost sure scattering for the one dimensional nonlinear Schrödinger equation
Nicolas Burq, Laurent Thomann
We consider the one-dimensional nonlinear Schrödinger equation with a nonlinearity of degree . We exhibit measures on the space of initial data for which we describe the non t…
A note on the uniqueness from sets of positive measure for time dependent parabolic operators
Nicolas Burq, Claude Zuily
The purpose of this short note is to show how it is possible to combine existing results in the literature to get the unique continuation from sets of positive measure for time dep…
Long time existence for a two-dimensional strongly dispersive Boussinesq system
Jean-Claude Saut, Li Xu
We prove a long time existence result for the solutions of a two-dimensional Boussinesq system modeling the propagation of long, weakly nonlinear water waves. This system is except…
Large time existence of Euler-Korteweg equations and two-fluid Euler-Maxwell equations with vorticity
Changzhen Sun
The aim of this manuscript is to study the influence of the vorticity on the existence time in fluid systems for which global smoothness and decay is known in the case of small irr…
Surface waves in a channel with thin tunnels and wells at the bottom: non-reflecting underwater tomography
Lucas Chesnel, Sergei A. Nazarov, Jari Taskinen
We consider the propagation of surface water waves in a straight planar channel perturbed at the bottom by several thin curved tunnels and wells. We propose a method to construct n…