Blow-Up Analysis for the Periodic Two-Component μ-Hunter-Saxton System

الملخص EN

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.