Long-Time Asymptotic Behavior of Dissipative Boussinesq System

Details Long-Time Asymptotic Behavior of Dissipative Boussinesq System Long-Time Asymptotic Behavior of Dissipative Boussinesq System

2006-07-27

arxiv.org/abs/math/0607708v1

Mathematics

Analysis of PDEs

Scientific paper

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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