The Cauchy Problem for the Modified Camassa-Holm Equations
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The Cauchy Problem for the Modified Camassa-Holm Equations
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 53, Issue 4, Pages: 8-12(2014)
作者机构:
1. .西南大学数学与统计学院,重庆,400715
2. 2.中山大学数学与计算科学学院,广东,广州,510275
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Published:2014,
Published Online:25 July 2014,
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ZHANG Shuanghu, FENG Zhaoyong, YANG Kaibo. The Cauchy Problem for the Modified Camassa-Holm Equations. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 53(4):8-12(2014)
DOI:
ZHANG Shuanghu, FENG Zhaoyong, YANG Kaibo. The Cauchy Problem for the Modified Camassa-Holm Equations. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 53(4):8-12(2014)DOI:
The Cauchy Problem for the Modified Camassa-Holm Equations
The Cauchy problem of the modified Camassa-Holm equation is mainly studied. First
a new blow-up phenomenon which is an improvement of the earlier ones is presented. Then it is proved that the Cauchy problem for the modified Camassa-Holm equation is not locally well-posedness in the sense that its solution does not depend uniformly continuously on the initial data.
关键词
修正 CamassaHolm 方程爆破关于初值非一致依赖性
Keywords
the modified Camassa-Holm equationblow upnon-uniform dependence on initial data