Degasperis-Procesi方程解的渐进性质
发布时间：2018-07-31 07:14
【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.
[Abstract]:The asymptotic property of the strong solution of Degasperis-Procesi (DP) equation is studied, that is, by using the method of asymptotic density for the momentum density of its strong solution, and under the assumption that the asymptotic density is unique, It is proved that the asymptotic density of the positive momentum density of DP equation is a combination of Dirac measures supported on the positive axis, and when the time tends to infinity, the momentum density is concentrated in a small region with different velocities moving to the right.
【作者单位】： 塔里木大学信息工程学院;
【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)
【分类号】：O175
本文编号：2154831
[Abstract]:The asymptotic property of the strong solution of Degasperis-Procesi (DP) equation is studied, that is, by using the method of asymptotic density for the momentum density of its strong solution, and under the assumption that the asymptotic density is unique, It is proved that the asymptotic density of the positive momentum density of DP equation is a combination of Dirac measures supported on the positive axis, and when the time tends to infinity, the momentum density is concentrated in a small region with different velocities moving to the right.
【作者单位】： 塔里木大学信息工程学院;
【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)
【分类号】：O175
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