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论文类型：期刊论文

发表时间：2015-06-01

发表刊物：NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

收录刊物：SCIE、EI、Scopus

卷号：23

页面范围：61-77

ISSN号：1468-1218

关键字：Generalized two-component mu-Hunter-Saxton system; Weakly dissipative; Wave breaking

摘要：In this paper, we study the wave-breaking phenomena and global existence for a weakly dissipative generalized two-component mu-Hunter-Saxton system in the periodic setting. We first establish local well-posedness for the generalized system. We obtain a wavebreaking criterion for solutions and results of wave-breaking solutions with certain initial profiles. We also determine the exact blow-up rate of strong solutions and present a lower bound of the lifespan. Finally, we give a sufficient condition for global solutions. (C) 2014 Elsevier Ltd. All rights reserved.