Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/19379
Title: Global existence and asymptotic behavior of the Boussinesq-Burgers system
Authors: Ding, W
Wang, ZA 
Keywords: Bores
Boussinesq-Burgers system
Convergence
Lyapunov functional
Moser iteration
Issue Date: 2015
Publisher: Academic Press
Source: Journal of mathematical analysis and applications, 2015, v. 424, no. 1, p. 584-597 How to cite?
Journal: Journal of mathematical analysis and applications 
Abstract: This paper is concerned with the Boussinesq-Burgers system which models the propagation of bores by combing the dissipation, dispersion and nonlinearity. We establish the global existence and asymptotical behavior of classical solutions of the initial value boundary problem of the Boussinesq-Burgers system with the help of a Lyapunov functional and the technique of Moser iteration. Particularly we show that the solution converges to the unique constant stationary solution exponentially as time tends to infinity.
URI: http://hdl.handle.net/10397/19379
ISSN: 0022-247X
EISSN: 1096-0813
DOI: 10.1016/j.jmaa.2014.11.014
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