Zobrazeno 1 - 10
of 137
pro vyhledávání: '"Lannes, David"'
Autor:
Lannes, David, Ming, Mei
The goal of this paper is to prove the well-posedness of F. John's floating body problem in the case of a fixed object and for unsteady waves, in horizontal dimension $d=1$ and with a possibly emerging bottom. This problem describes the interactions
Externí odkaz:
http://arxiv.org/abs/2407.18082
Autor:
Lannes, David, Rigal, Mathieu
This paper is devoted to the theoretical and numerical investigation of the initial boundary value problem for a system of equations used for the description of waves in coastal areas, namely, the Boussinesq-Abbott system in the presence of topograph
Externí odkaz:
http://arxiv.org/abs/2402.03859
The goal of this work is to study waves interacting with partially immersed objects allowed to move freely in the vertical direction, and in a regime in which the propagation of the waves is described by the one dimensional Boussinesq-Abbott system.
Externí odkaz:
http://arxiv.org/abs/2307.01749
Autor:
Lannes, David, Iguchi, Tatsuo
This article is devoted to the proof of the well-posedness of a model describing waves propagating in shallow water in horizontal dimension $d=2$ and in the presence of a fixed partially immersed object. We first show that this wave-interaction probl
Externí odkaz:
http://arxiv.org/abs/2306.15285
Autor:
Beck, Geoffrey, Lannes, David
We investigate here the interactions of waves governed by a Boussinesq system with a partially immersed body allowed to move freely in the vertical direction. We show that the whole system of equations can be reduced to a transmission problem for the
Externí odkaz:
http://arxiv.org/abs/2102.06947
Autor:
Lannes, David
We review here the derivation of many of the most important models that appear in the literature (mainly in coastal oceanography) for the description of waves in shallow water. We show that these models can be obtained using various asymptotic expans
Externí odkaz:
http://arxiv.org/abs/2001.09655
Motivated by the analysis of the propagation of internal waves in a stratified ocean, we consider in this article the incompressible Euler equations with variable density in a flat strip, and we study the evolution of perturbations of the hydrostatic
Externí odkaz:
http://arxiv.org/abs/1912.05346
Publikováno v:
Analysis & PDE 14 (2021) 1085-1124
This paper is devoted to the derivation and mathematical analysis of a wave-structure interaction problem which can be reduced to a transmission problem for a Boussinesq system. Initial boundary value problems and transmission problems in dimension d
Externí odkaz:
http://arxiv.org/abs/1902.04837
Autor:
Lannes, David, Weynans, Lisl
We present a new method for the numerical implementation of generating boundary conditions for a one dimensional Boussinesq system. This method is based on a reformulation of the equations and a resolution of the dispersive boundary layer that is cre
Externí odkaz:
http://arxiv.org/abs/1902.03973