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Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (9): 1257-1263 .doi: https://doi.org/10.1007/s10483-006-0913-y

• 论文 • 上一篇    下一篇

COMPARISON OF STABILITY BETWEEN NAVIER-STOKES AND EULER EQUATIONS

施惟慧, 王曰朋, 沈春   

  • 收稿日期:2005-10-21 修回日期:2006-05-27 出版日期:2006-09-18 发布日期:2006-09-18
  • 通讯作者: 王曰朋

COMPARISON OF STABILITY BETWEEN NAVIER-STOKES AND EULER EQUATIONS

SHI Wei-hui, WANG Yue-peng, SHEN Chun   

    1. Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
    3. Department of Mathematics, Nanjing University of Information Science & Technology, Nanjing 210044, P. R. China;
    4. School of Mathematics and Information, Yantai Normal University, Yantai 264025, Shandong Province, P. R. China
  • Received:2005-10-21 Revised:2006-05-27 Online:2006-09-18 Published:2006-09-18
  • Contact: WANG Yue-peng

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Abstract: The stability about Navier-Stokes equation and Euler equation was brought into comparison. And by taking their typical initial value problem for example, the reason of leading to the difference in stability between Navier-Stokes equation and Euler equation was also analyzed.

Key words: Navier-Stokes equation, Euler equation, stable equation, singular equation

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