| Degasperis-Procesi方程解的渐进性质 |
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| 引用本文： | 康顺光,贾佳.Degasperis-Procesi方程解的渐进性质[J].数学学报,2017,60(2):343-354. |
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| 作者姓名： | 康顺光 贾佳 |
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| 作者单位： | 塔里木大学 信息工程学院 阿拉尔 843300 |
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| 基金项目： | 国家自然科学基金（61563046，61501314）；塔里木大学校长基金青年创新资金（TDZKQN201507） |
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| 摘 要： | 主要研究Degasperis-Procesi(DP)方程强解的渐近性质,即通过对其强解的动量密度用渐近密度的方法,并在渐近密度唯一的假定下,证实了DP方程的正动量密度的渐进密度是支集在正轴上的Dirac测度的组合,且当时间趋于无穷时,动量密度集中在不同速度向右移动的小区域中.
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| 关 键 词： | Camassa-Holm方程 Degasperis-Procesi方程 动量密度 渐进密度 |
An Asymptotic Property of the Degasperis-Procesi Equation |
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| Shun Guang KANG,Jia JIA.An Asymptotic Property of the Degasperis-Procesi Equation[J].Acta Mathematica Sinica,2017,60(2):343-354. |
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| Authors: | Shun Guang KANG Jia JIA |
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| Institution: | College of Information Engineering, Tarim university, Alar 843300, P. R. China |
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| Abstract: | The paper is about the asymptotic properties of Degasperis-Procesi equation. That is, using the method of asymptotic density, under the assumption that it is unique, the paper proves that the positive momentum density of the Degasperis-Procesi equation is a combination of Dirac measures supported on the positive axis. This means that as time goes to infinity, the momentum density concentrates in small intervals moving right with different constant speeds. |
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| Keywords: | Camassa-Holm equation Degasperis-Procesi equation momentum density asymptotic density |
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