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http://hdl.handle.net/10397/96233
Title: | Global existence and asymptotic behavior of the Boussinesq–Burgers system | Authors: | Ding, W Wang, ZA |
Issue Date: | 1-Apr-2015 | Source: | Journal of mathematical analysis and applications, 1 Apr. 2015, v. 424, no. 1, p. 584-597 | 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. | Keywords: | Bores Boussinesq-Burgers system Convergence Lyapunov functional Moser iteration |
Publisher: | Academic Press | Journal: | Journal of mathematical analysis and applications | ISSN: | 0022-247X | EISSN: | 1096-0813 | DOI: | 10.1016/j.jmaa.2014.11.014 | Rights: | © 2014 Elsevier Inc. All rights reserved. © 2014. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/ The following publication Ding, W., & Wang, Z. A. (2015). Global existence and asymptotic behavior of the Boussinesq–Burgers system. Journal of Mathematical Analysis and Applications, 424(1), 584-597 is available at https://doi.org/10.1016/j.jmaa.2014.11.014. |
Appears in Collections: | Journal/Magazine Article |
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