Blow-up of solutions to the rotation b-family system modeling equatorial water waves
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...
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Texas State University
2018-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/78/abstr.html |
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doaj-236407420b234920aa53e9aac38c3bf32020-11-24T23:49:52ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912018-03-01201878,123Blow-up of solutions to the rotation b-family system modeling equatorial water wavesMin Zhu0Ying Wang1 Nanjing Forestry Univ., Nanjing, China Univ. of Electronic Science and Tech., Chengdu, China 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.http://ejde.math.txstate.edu/Volumes/2018/78/abstr.htmlRotation b-family systemblow upwave-breaking |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Min Zhu Ying Wang |
| spellingShingle |
Min Zhu Ying Wang Blow-up of solutions to the rotation b-family system modeling equatorial water waves Electronic Journal of Differential Equations Rotation b-family system blow up wave-breaking |
| author_facet |
Min Zhu Ying Wang |
| author_sort |
Min Zhu |
| title |
Blow-up of solutions to the rotation b-family system modeling equatorial water waves |
| title_short |
Blow-up of solutions to the rotation b-family system modeling equatorial water waves |
| title_full |
Blow-up of solutions to the rotation b-family system modeling equatorial water waves |
| title_fullStr |
Blow-up of solutions to the rotation b-family system modeling equatorial water waves |
| title_full_unstemmed |
Blow-up of solutions to the rotation b-family system modeling equatorial water waves |
| title_sort |
blow-up of solutions to the rotation b-family system modeling equatorial water waves |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2018-03-01 |
| description |
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. |
| topic |
Rotation b-family system blow up wave-breaking |
| url |
http://ejde.math.txstate.edu/Volumes/2018/78/abstr.html |
| work_keys_str_mv |
AT minzhu blowupofsolutionstotherotationbfamilysystemmodelingequatorialwaterwaves AT yingwang blowupofsolutionstotherotationbfamilysystemmodelingequatorialwaterwaves |
| _version_ |
1725481162616340480 |