Open AccessBlow-Up Analysis for the Periodic Two-Component μ-Hunter-Saxton System
Author(s) -
Yunxi Guo,
Ting-jian Xiong
Publication year - 2018
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2018/5374180
Subject(s) - component (thermodynamics) , algorithm , mathematics , computer science , physics , thermodynamics
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.