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Indexed by:Journal Papers

Date of Publication:2015-06-01

Journal:NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Included Journals:SCIE、EI、Scopus

Volume:23

Page Number:61-77

ISSN No.:1468-1218

Key Words:Generalized two-component mu-Hunter-Saxton system; Weakly dissipative; Wave breaking

Abstract: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.