Numerical study of the Amick–Schonbek system
C Klein, JC Saut - Studies in Applied Mathematics, 2024 - Wiley Online Library
The aim of this paper is to present a survey and a detailed numerical study on a remarkable
Boussinesq system describing weakly nonlinear, long surface water waves. In the one …
Boussinesq system describing weakly nonlinear, long surface water waves. In the one …
Oscillatory and regularized shock waves for a dissipative Peregrine–Boussinesq system
L Brudvik-Lindner, D Mitsotakis… - IMA Journal of Applied …, 2023 - academic.oup.com
We consider a dissipative, dispersive system of the Boussinesq type, which describes wave
phenomena in scenarios where dissipation plays a significant role. Examples include …
phenomena in scenarios where dissipation plays a significant role. Examples include …
Global well-posedness for a family of regularized Benjamin-type equations
IP Bastos, DGA Vigo, AR de Zarate Fabregas… - Nonlinear Analysis: Real …, 2024 - Elsevier
Global well-posedness for a family of regularized Benjamin-type equations - ScienceDirect
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Global solutions for the one-dimensional Boussinesq-Peregrine system under small bottom variation
L Molinet, R Talhouk - Journal of Differential Equations, 2025 - Elsevier
Abstract The Boussinesq-Peregrine system is derived from the water waves system in
presence of topographic variation under the hypothesis of shallowness and small amplitude …
presence of topographic variation under the hypothesis of shallowness and small amplitude …
Numerical study of the Serre-Green-Naghdi equations and a fully dispersive counterpart
We perform numerical experiments on the Serre-Green-Naghdi (SGN) equations and a fully
dispersive" Whitham-Green-Naghdi"(WGN) counterpart in dimension 1. In particular, solitary …
dispersive" Whitham-Green-Naghdi"(WGN) counterpart in dimension 1. In particular, solitary …
Asymptotic Expansion of the Solutions to a Regularized Boussinesq System (Theory and Numerics)
We consider the propagation of surface water waves described by the Boussinesq system.
Following (Molinet et al. in Nonlinearity 34: 744–775, 2021), we introduce a regularized …
Following (Molinet et al. in Nonlinearity 34: 744–775, 2021), we introduce a regularized …
Boussinesq. Schrödinger and Euler-Korteweg check for updates
JC Saut, L Xu - Math. Phys. Its Interactions: In Honor of the 60th …, 2021 - books.google.com
The aim of this paper of survey nature is to emphasize the links between two specific
strongly dispersive" abcd" Boussinesq systems and nonlinear Schrödinger equations, one of …
strongly dispersive" abcd" Boussinesq systems and nonlinear Schrödinger equations, one of …
Boussinesq, Schrödinger and Euler-Korteweg
JC Saut, L Xu - International Conference on Mathematical Physics and …, 2021 - Springer
The aim of this paper of survey nature is to emphasize the links between two specific
strongly dispersive “abcd” Boussinesq systems and nonlinear Schrödinger equations, one of …
strongly dispersive “abcd” Boussinesq systems and nonlinear Schrödinger equations, one of …
Luc MOLINET, Institut Denis Poisson, Université de Tours, Université d'Orléans-Tours
R TALHOUK - canum2024.math.cnrs.fr
The Boussinesq-Peregrine system is derived from the water waves system in presence of
topographic variation under the hypothesis of shallowness and small amplitude regime. The …
topographic variation under the hypothesis of shallowness and small amplitude regime. The …
LONG TIME AND GLOBAL SOLUTIONS FOR THE ONE-DIMENSION BOUSSINESQ-PEREGRINE SYSTEM FOR GENERAL AND SMALL BOTTOM VARIATION
LUC MOLINET, R TALHOUK - dimenza.perso.math.cnrs.fr
The Boussinesq-Peregrine system is derived from the water waves system in presence of
topographic variation under the hypothesis of shallowness and small amplitude regime. The …
topographic variation under the hypothesis of shallowness and small amplitude regime. The …