48 citations · 103 across the 12 of their papers we have counts for
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math.AP2006★ 2 cited
Long-Time Asymptotic Behavior of Dissipative Boussinesq System
Min Chen, Olivier Goubet
In this paper, we study various dissipative mechanics associated with the Boussinesq systems which model two-dimensional small amplitude long wavelength water waves. We will show t…
math.AP2006
Large time behavior of solutions to a dissipative Boussinesq system
Mostafa Abounouh, Abdelghafour Atlas, Olivier Goubet
In this article we consider the Boussinesq system supplemented with some dissipation terms. These equations model the propagation of a waterwave in shallow water. We prove the exis…
math.AP2006
Two remarks on solutions of Gross-Pitaevskii equations on Zhidkov spaces
Olivier Goubet
We consider the so-called Gross-Pitaevskii equations supplemented with non-standard boundary conditions. We prove two mathematical results concerned with the initial value problem…