The Boussinesq system revisited

L Molinet, R Talhouk, I Zaiter - Nonlinearity, 2021 - iopscience.iop.org
… towards the solution of the Boussinesq system as the parameter ϵ goes to 0. Finally, we
prove the existence of low regularity entropic solutions of the Boussinesq equations emanating …

The classical Boussinesq system revisited

L Molinet, R Talhouk, I Zaiter - arXiv preprint arXiv:2001.11870, 2020 - arxiv.org
… we revisit the study by ME Schonbek [11] concerning the problem … for the classical Boussinesq
system, as well as the study of the … We first show that the regularized system is globally …

A reasoned overview on Boussinesq-type models: the interplay between physics, mathematics and numerics

M Brocchini - Proceedings of the Royal Society A …, 2013 - royalsocietypublishing.org
… is largely the fruit of an invited talk on the topic at the latest … , describes the state of the art of
modelling by means of Boussinesq-… to the interplay between the physics to be described, the

The Boussinesq equation revisited

LV Bogdanov, VE Zakharov - Physica D: Nonlinear Phenomena, 2002 - Elsevier
… Formation of singularity (collapse) for Boussinesq equation solitons was first observed …
of the solitonic sector of the Boussinesq equation and also sum up the results concerning the

On enhanced dissipation for the Boussinesq equations

C Zillinger - Journal of Differential Equations, 2021 - Elsevier
… in the behavior of the Boussinesq equations with partial or full dissipation close to the following
two … In Section 2 we revisit this problem for the infinite channel T × R with general partial …

[HTML][HTML] Revisiting the energetics of the ocean in Boussinesq approximation

C Eden - Journal of Physical Oceanography, 2015 - journals.ametsoc.org
The pressure work shows up instead in the conservation equation for gravitational … in the
Boussinesq approximation, while it is not present in the gravitational potential energy of the

[HTML][HTML] NOTES AND CORRESPONDENCE Constituent Boussinesq Equations for Waves and Currents

CY Shen - Journal of Physical Oceanography, 2001 - journals.ametsoc.org
the constituent form of the Boussinesq equations is cast into the more familiar form assumed
by the Boussinesq-… current will be revisited to illustrate how the constituent equations can be …

On the validity of the Boussinesq approximation for the Elder problem

K Johannsen - Computational Geosciences, 2003 - Springer
… In this paper we investigate the steady state solutions of the Elder problem using the full
system of equations as well as the Boussinesq approximation. We revisit the eleven solutions …

Revisiting study on Boussinesq modeling of wave transformation over various reef profiles

K Fang, J Yin, Z Liu, J Sun, Z Zou - Water Science and Engineering, 2014 - Elsevier
The second was to revisit the underestimation of the setup from the point of view of linear and
… Considering that wave breaking is simply treated via the ad hoc method in the Boussinesq

The linearized classical Boussinesq system on the half‐line

CM Johnston, CT Gartman… - Studies in Applied …, 2021 - Wiley Online Library
… Then, in Section 4, we revisit the problem by converting the linearized classical Boussinesq
system into a single equation, which we then solve via the standard version of UTM. This …