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

Abstract

Abstract 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.

Keywords

• Two-component μ-Hunter–Saxton system
• Wave-breaking criteria
• Blow-up phenomena