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

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...

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Detalles Bibliográficos
Autores principales: Guo, Yunxi, Xiong, Tingjian
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244723/
https://www.ncbi.nlm.nih.gov/pubmed/30839834
http://dx.doi.org/10.1186/s13660-018-1903-8
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author Guo, Yunxi
Xiong, Tingjian
author_facet Guo, Yunxi
Xiong, Tingjian
author_sort Guo, Yunxi
collection PubMed
description 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.
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spelling pubmed-62447232018-12-04 Blow-up analysis for a periodic two-component μ-Hunter–Saxton system Guo, Yunxi Xiong, Tingjian J Inequal Appl Research 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. Springer International Publishing 2018-11-12 2018 /pmc/articles/PMC6244723/ /pubmed/30839834 http://dx.doi.org/10.1186/s13660-018-1903-8 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Guo, Yunxi
Xiong, Tingjian
Blow-up analysis for a periodic two-component μ-Hunter–Saxton system
title 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_short 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
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244723/
https://www.ncbi.nlm.nih.gov/pubmed/30839834
http://dx.doi.org/10.1186/s13660-018-1903-8
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AT xiongtingjian blowupanalysisforaperiodictwocomponentmhuntersaxtonsystem

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