Release Time:2019-03-09  Hits:

Indexed by: Journal Papers

Date of Publication: 2015-06-01

Journal: NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Included Journals: Scopus、EI、SCIE

Volume: 23

Page Number: 61-77

ISSN: 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.