48 citations · 103 across the 12 of their papers we have counts for
12 papers · 1 filter
Dynamics of generalized abcd Boussinesq solitary waves under a slowly variable bottom
André de Laire, Olivier Goubet, María Eugenia Martínez +2
The Boussinesq system is a 4-parameter set of equations posed in , originally derived by Bona, Chen and Saut as first-order 2-wave approximatio…
Initial value problem for one-dimensional rotating shallow water equations
Nabil Bedjaoui, Vivien Desveaux, Olivier Goubet +1
In this article we address some issues related to the initial value problems for a rotating shallow water hyperbolic system of equations and the diffusive regularization of this sy…
Singular solutions of elliptic equations with iterated exponentials
Marius Ghergu, Olivier Goubet
We construct positive singular solutions for the problem in (), on , having a prescribed behaviour around t…
Global attractors for the Benjamin-Bona-Mahony equation with memory
Filippo Dell'Oro, Olivier Goubet, Youcef Mammeri +1
We consider the nonlinear integrodifferential Benjamin-Bona-Mahony equation where the dissipation i…
The Dirichlet problem for in an infinite sector. Application to plasma equilibria
Olivier Goubet, Simon Labrunie
We consider here a nonlinear elliptic equation in an unbounded sectorial domain of the plane. We prove the existence of a minimal solution to this equation and study its properties…
The Gel'fand problem for the biharmonic operator
Louis Dupaigne, Olivier Goubet, Guillaume Warnault +1
We study stable solutions of a fourth order nonlinear elliptic equation, both in entire space and in bounded domains.