Blow-Up Analysis for the Periodic Two-Component μ-Hunter-Saxton System
The two-component μ-Hunter-Saxton system is considered in the spatially periodic setting. Firstly, a wave-breaking criterion is derived by employing the localization analysis of the transport equation theory. Secondly, several sufficient conditions of the blow-up solutions are established by using t...
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Hindawi Limited
2018-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2018/5374180 |
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doaj-1c7da1792c714746a229e3d6b0eda6ae2020-11-25T01:03:50ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472018-01-01201810.1155/2018/53741805374180Blow-Up Analysis for the Periodic Two-Component μ-Hunter-Saxton SystemYunxi Guo0Tingjian Xiong1School of Mathematics, Zunyi Normal University, 563000 Zunyi, ChinaSchool of Mathematics and Statistics, Sichuan University of Science and Engineering, 643000 Zigong, ChinaThe two-component μ-Hunter-Saxton system is considered in the spatially periodic setting. Firstly, a wave-breaking criterion is derived by employing the localization analysis of the transport equation theory. Secondly, several sufficient conditions of the blow-up solutions are established by using the classic method. The results obtained in this paper are new and different from those in previous works.http://dx.doi.org/10.1155/2018/5374180 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yunxi Guo Tingjian Xiong |
| spellingShingle |
Yunxi Guo Tingjian Xiong Blow-Up Analysis for the Periodic Two-Component μ-Hunter-Saxton System Mathematical Problems in Engineering |
| author_facet |
Yunxi Guo Tingjian Xiong |
| author_sort |
Yunxi Guo |
| title |
Blow-Up Analysis for the Periodic Two-Component μ-Hunter-Saxton System |
| title_short |
Blow-Up Analysis for the Periodic Two-Component μ-Hunter-Saxton System |
| title_full |
Blow-Up Analysis for the Periodic Two-Component μ-Hunter-Saxton System |
| title_fullStr |
Blow-Up Analysis for the Periodic Two-Component μ-Hunter-Saxton System |
| title_full_unstemmed |
Blow-Up Analysis for the Periodic Two-Component μ-Hunter-Saxton System |
| title_sort |
blow-up analysis for the periodic two-component μ-hunter-saxton system |
| publisher |
Hindawi Limited |
| series |
Mathematical Problems in Engineering |
| issn |
1024-123X 1563-5147 |
| publishDate |
2018-01-01 |
| description |
The two-component μ-Hunter-Saxton system is considered in the spatially periodic setting. Firstly, a wave-breaking criterion is derived by employing the localization analysis of the transport equation theory. Secondly, several sufficient conditions of the blow-up solutions are established by using the classic method. The results obtained in this paper are new and different from those in previous works. |
| url |
http://dx.doi.org/10.1155/2018/5374180 |
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AT yunxiguo blowupanalysisfortheperiodictwocomponentmhuntersaxtonsystem AT tingjianxiong blowupanalysisfortheperiodictwocomponentmhuntersaxtonsystem |
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1725199150099726336 |