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Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (5): 555-567.

• 论文 • 上一篇    下一篇

ON THE WELL POSEDNESS OF INITIAL VALUE PROBLEM FOR EULER EQUATIONS OF INCOMPRESSIBLE INVISCID FLUID(Ⅱ)

沈臻   

  1. Department of Mathematics, Shanghai University, Shanghai 200436, P.R.China
  • 收稿日期:2001-11-27 修回日期:2002-12-28 出版日期:2003-05-18 发布日期:2003-05-18
  • 基金资助:
    the National Natural Science Foundation of China(19971054)

ON THE WELL POSEDNESS OF INITIAL VALUE PROBLEM FOR EULER EQUATIONS OF INCOMPRESSIBLE INVISCID FLUID(Ⅱ)

SHEN Zhen   

  1. Department of Mathematics, Shanghai University, Shanghai 200436, P.R.China
  • Received:2001-11-27 Revised:2002-12-28 Online:2003-05-18 Published:2003-05-18
  • Supported by:
    the National Natural Science Foundation of China(19971054)

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摘要： The solvability of the Euler equations about incompressible inviscid fluid based on the stratification theory is discussed. And the conditions for the existence of formal solutions and the methods are presented for calculating all kinds of ill-posed initial value problems. Two examples are given as the evidences that the initial problems at the hyper surface does not exist any unique solution.

Abstract: The solvability of the Euler equations about incompressible inviscid fluid based on the stratification theory is discussed. And the conditions for the existence of formal solutions and the methods are presented for calculating all kinds of ill-posed initial value problems. Two examples are given as the evidences that the initial problems at the hyper surface does not exist any unique solution.

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