Zhu, MinWang, Ying2022-01-262022-01-262018-03-20Zhu, M., & Wang, Y. (2018). Blow-up of solutions to the rotation b-family system modeling equatorial water waves. <i>Electronic Journal of Differential Equations, 2018</i>(78), pp. 1-23.1072-6691https://hdl.handle.net/10877/15220We consider the blow-up mechanism to the periodic generalized rotation b-family system (R-b-family system). This model can be derived from the f-plane governing equations for the geographical water waves with a constant underlying current in the equatorial water waves with effect of the Coriolis force. When b=2, it is a rotation two-component Camassa-Holm (R2CH) system. We consider the periodic R2CH system when linear dispersion is absent (which model is called r2CH system) and derive two finite-time blow-up results.Text23 pages1 file (.pdf)enAttribution 4.0 InternationalRotation b-family systemBlow upWave-breakingArticle