On the Well Posedness of Initial Value Problem for Euler Equations of Incompressible Inviscid Fluid(Ⅱ)

SHEN Zhen

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SHEN Zhen. On the Well Posedness of Initial Value Problem for Euler Equations of Incompressible Inviscid Fluid(Ⅱ)[J]. Applied Mathematics and Mechanics, 2003, 24(5): 493-504.

Citation:

SHEN Zhen. On the Well Posedness of Initial Value Problem for Euler Equations of Incompressible Inviscid Fluid(Ⅱ)[J]. Applied Mathematics and Mechanics, 2003, 24(5): 493-504.

Citation:

SHEN Zhen. On the Well Posedness of Initial Value Problem for Euler Equations of Incompressible Inviscid Fluid(Ⅱ)[J]. Applied Mathematics and Mechanics, 2003, 24(5): 493-504.

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On the Well Posedness of Initial Value Problem for Euler Equations of Incompressible Inviscid Fluid(Ⅱ)

SHEN Zhen

Department of Mathematics, Shanghai University, Shanghai 2000436, P.R.Chian

Received Date: 2001-11-27
Rev Recd Date: 2002-12-28
Publish Date: 2003-05-15

Abstract

Abstract

The solvability of the Euler equations about imcompressible inviscid flow 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 evidence that the initial problems at the hyper surface does not exist any unique solution.
- Euler equation,
- ill-posed problem,
- formal solution,
- equation secondaire

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References(9)

References

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