Applied Mathematics and Mechanics

, Volume 24, Issue 5, pp 555–567 | Cite as

On the well posedness of initial value problem for euler equations of incompressible inviscid fluid (II)

  • Shen Zhen


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.

Key words

Euler equation ill-posed problem formal solution equation secondaire 

Chinese Library Classification


2000 MR Subject Classification



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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Shen Zhen
    • 1
  1. 1.Department of MathematicsShanghai UniversityShanghaiP. R. China

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