一类弱耗散双组份Hunter-Saxton系统的爆破与爆破率

Blow-up and Blow-Up Rate for the Generalized Weakly Dissipative Two-Component Hunter-Saxton System

研究了一类周期弱耗散双组份Hunnter-Saxton系统的爆破现象.首先,给出了此类Hunnter-Saxton系统解的局部适定性及其精确的爆破机制;其次,证明了在一定的初始值下Hunnter-Saxton系统强解的几个爆破结果;最后,给出了HunnterSaxton系统强解的爆破率.

This paper studies the wave-breaking phenomena for the generalized weakly dissipative two-component Hunter-Saxton system in the periodic setting, Firstly, we get the local well-posedness and precise blow-up scenario for the generalized weakly dissipative two-component Hunter-Saxton system. Secondly, we prove several blow-up results of strong solutions and results of wave-breaking solutions with certain initial profiles. Finally, we also gain the exact blow-up rate of strong solutions.