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Large time behavior of solutions to a dissipative Boussinesq system

Mostafa Abounouh·Abdelghafour Atlas·Olivier Goubet
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Abstract

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 existence of a global smooth attractor for the corresponding dynamical system.

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Mostafa Abounouh, Abdelghafour Atlas, Olivier Goubet. 2006-07-25. Large time behavior of solutions to a dissipative Boussinesq system. https://arxiv.org/abs/math/0607627

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