Long-time asymptotic behavior of dissipative Boussinesq systems | Zendy

Min Chen | Zendy; Olivier Goubet | Zendy

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Long-time asymptotic behavior of dissipative Boussinesq systems

Author(s) -

Min Chen,

Olivier Goubet

Publication year - 2007

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2007.17.509

Subject(s) - dissipative system , boussinesq approximation (buoyancy) , korteweg–de vries equation , physics , kondratiev wave , amplitude , mathematical analysis , classical mechanics , mechanics , mathematics , optics , thermodynamics , nonlinear system , quantum mechanics , heat transfer , natural convection , rayleigh number

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.

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