Degasperis-Procesi方程解的渐进性质  

An Asymptotic Property of the Degasperis-Procesi Equation

作　　者：康顺光[1] 贾佳[1] 

机构地区：[1]塔里木大学信息工程学院,阿拉尔843300

出　　处：《数学学报（中文版）》2017年第2期343-354,共12页Acta Mathematica Sinica：Chinese Series

基　　金：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)

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.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.

关 键 词：CAMASSA-HOLM方程 Degasperis—Procesi方程 动量密度 渐进密度 

分 类 号：O351.3[理学—流体力学]