Blow-up analysis for a periodic two-component μ-Hunter–Saxton system

Abstract The two-component μ-Hunter–Saxton system is considered in the spatially periodic setting. Firstly, two wave-breaking criteria are derived by employing the transport equation theory and the localization analysis method. Secondly, a sufficient condition of the blow-up solutions is established...

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Main Authors:	Yunxi Guo, Tingjian Xiong
Format:	Article
Language:	English
Published:	SpringerOpen 2018-11-01
Series:	Journal of Inequalities and Applications
Subjects:	Two-component μ-Hunter–Saxton system Wave-breaking criteria Blow-up phenomena
Online Access:	http://link.springer.com/article/10.1186/s13660-018-1903-8

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spelling	doaj-b9f6c59e74124a4fad9d4c448c23ae432020-11-25T01:22:06ZengSpringerOpenJournal of Inequalities and Applications1029-242X2018-11-012018111410.1186/s13660-018-1903-8Blow-up analysis for a periodic two-component μ-Hunter–Saxton systemYunxi Guo0Tingjian Xiong1School of Mathematics, Zunyi Normal UniversityDepartment of Applied Mathematics, Sichuan University of Science and EngineeringAbstract The two-component μ-Hunter–Saxton system is considered in the spatially periodic setting. Firstly, two wave-breaking criteria are derived by employing the transport equation theory and the localization analysis method. Secondly, a sufficient condition of the blow-up solutions is established by using the classic method. The results obtained in this paper are new and different from those in previous works.http://link.springer.com/article/10.1186/s13660-018-1903-8Two-component μ-Hunter–Saxton systemWave-breaking criteriaBlow-up phenomena
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yunxi Guo Tingjian Xiong
spellingShingle	Yunxi Guo Tingjian Xiong Blow-up analysis for a periodic two-component μ-Hunter–Saxton system Journal of Inequalities and Applications Two-component μ-Hunter–Saxton system Wave-breaking criteria Blow-up phenomena
author_facet	Yunxi Guo Tingjian Xiong
author_sort	Yunxi Guo
title	Blow-up analysis for a periodic two-component μ-Hunter–Saxton system
title_short	Blow-up analysis for a periodic two-component μ-Hunter–Saxton system
title_full	Blow-up analysis for a periodic two-component μ-Hunter–Saxton system
title_fullStr	Blow-up analysis for a periodic two-component μ-Hunter–Saxton system
title_full_unstemmed	Blow-up analysis for a periodic two-component μ-Hunter–Saxton system
title_sort	blow-up analysis for a periodic two-component μ-hunter–saxton system
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2018-11-01
description	Abstract The two-component μ-Hunter–Saxton system is considered in the spatially periodic setting. Firstly, two wave-breaking criteria are derived by employing the transport equation theory and the localization analysis method. Secondly, a sufficient condition of the blow-up solutions is established by using the classic method. The results obtained in this paper are new and different from those in previous works.
topic	Two-component μ-Hunter–Saxton system Wave-breaking criteria Blow-up phenomena
url	http://link.springer.com/article/10.1186/s13660-018-1903-8
work_keys_str_mv	AT yunxiguo blowupanalysisforaperiodictwocomponentmhuntersaxtonsystem AT tingjianxiong blowupanalysisforaperiodictwocomponentmhuntersaxtonsystem
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Blow-up analysis for a periodic two-component μ-Hunter–Saxton system

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