Degasperis-Procesi方程解的漸進(jìn)性質(zhì)
發(fā)布時間：2018-07-31 07:14
【摘要】：主要研究Degasperis-Procesi(DP)方程強(qiáng)解的漸近性質(zhì),即通過對其強(qiáng)解的動量密度用漸近密度的方法,并在漸近密度唯一的假定下,證實了DP方程的正動量密度的漸進(jìn)密度是支集在正軸上的Dirac測度的組合,且當(dāng)時間趨于無窮時,動量密度集中在不同速度向右移動的小區(qū)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.
【作者單位】： 塔里木大學(xué)信息工程學(xué)院;
【基金】：國家自然科學(xué)基金(61563046,61501314) 塔里木大學(xué)校長基金青年創(chuàng)新資金(TDZKQN201507)
【分類號】：O175
本文編號：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.
【作者單位】： 塔里木大學(xué)信息工程學(xué)院;
【基金】：國家自然科學(xué)基金(61563046,61501314) 塔里木大學(xué)校長基金青年創(chuàng)新資金(TDZKQN201507)
【分類號】：O175
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