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Long-Time Asymptotic Behavior of Dissipative Boussinesq System

Min Chen·Olivier Goubet
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Abstract

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 that the decay rate for the damped one-directional model equations, such as the KdV and BBM equations, holds for some of the damped Boussinesq systems which model two-directional waves.

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Min Chen, Olivier Goubet. 2006-07-27. Long-Time Asymptotic Behavior of Dissipative Boussinesq System. https://arxiv.org/abs/math/0607708

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