Blow-up of solutions to the rotation b-family system modeling equatorial water waves
| dc.contributor.author | Zhu, Min | |
| dc.contributor.author | Wang, Ying | |
| dc.date.accessioned | 2022-01-26T22:06:39Z | |
| dc.date.available | 2022-01-26T22:06:39Z | |
| dc.date.issued | 2018-03-20 | |
| dc.description.abstract | We 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 23 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Zhu, 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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15220 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Rotation b-family system | |
| dc.subject | Blow up | |
| dc.subject | Wave-breaking | |
| dc.title | Blow-up of solutions to the rotation b-family system modeling equatorial water waves | |
| dc.type | Article |