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带有扰动项的3D Euler方程

The 3-D Euler Equations with a Disturbing Term
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摘要 本文主要研究了加一项扰动项εu后的三维欧拉方程情况。通过借助于柱坐标变换,讨论在有旋的情形下,方程组有轴对称解的条件,并得到一个新的结果。 In this paper, the three-dimessional Euler equations with a disturbing term have mainly been studied. By means of the cylindrical coordinate transformation, the condition of the axisymmetric solution has been discussed under the swirl situation and a new result has been obtained.
作者 潘爱林
出处 《合肥师范学院学报》 2008年第6期10-12,共3页 Journal of Hefei Normal University
关键词 三维 欧拉方程组 扰动项 柱坐标系 有旋 three dimession Euler equations disturbing term cylindrical coordinate transformation swirl
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参考文献1

  • 1J. T. Beale,T. Kato,A. Majda. Remarks on the breakdown of smooth solutions for the 3-D Euler equations[J] 1984,Communications in Mathematical Physics(1):61~66

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