Long-time asymptotic behavior of dissipative Boussinesq systems

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2007Embargo end date: 01 Jan 2006Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Discrete and Continuous Dynamical Systems, volume 17, pages 509-528 (issn: 1078-0947, eissn: 1553-5231,

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Authors: Chen, Min; Goubet, Olivier;

doi: 10.3934/dcds.2007.17.509 , 10.48550/arxiv.math/0607708

arXiv: math/0607708

Long-time asymptotic behavior of dissipative Boussinesq systems

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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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Keywords

Mathematics - Analysis of PDEs, FOS: Mathematics, 35Q35, 35Q53, 76B15, Analysis of PDEs (math.AP)

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