Blow-up of solutions to the rotation b-family system modeling equatorial water waves
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Date
2018-03-20
Authors
Zhu, Min
Wang, Ying
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Rotation b-family system, Blow up, Wave-breaking
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.
Rights
Attribution 4.0 International