Well Posedness of Initial Value Problem for Euler Equations of Inviscid Compressible Adiabatic Fluid

WANG Yue-peng

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WANG Yue-peng. Well Posedness of Initial Value Problem for Euler Equations of Inviscid Compressible Adiabatic Fluid[J]. Applied Mathematics and Mechanics, 2005, 26(7): 794-800.

Citation:

WANG Yue-peng. Well Posedness of Initial Value Problem for Euler Equations of Inviscid Compressible Adiabatic Fluid[J]. Applied Mathematics and Mechanics, 2005, 26(7): 794-800.

Citation:

WANG Yue-peng. Well Posedness of Initial Value Problem for Euler Equations of Inviscid Compressible Adiabatic Fluid[J]. Applied Mathematics and Mechanics, 2005, 26(7): 794-800.

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Well Posedness of Initial Value Problem for Euler Equations of Inviscid Compressible Adiabatic Fluid

WANG Yue-peng

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

Received Date: 2003-10-08
Rev Recd Date: 2005-03-08
Publish Date: 2005-07-15

Abstract

Abstract

The well-posedness of the initial value problem of the Euler equations was mainly discussed based on the stratification theory, and the necessary and sufficient conditions of well-posedness are presented for some representative initial or boundary value problem, thus the structure of solution space for local (exact) solution of the Euler equations is determined. Moreover the computation formulas of the analytical solution of the well-posed problem are also given.
- Euler equation,
- initial or boundary value problem,
- well posedness,
- stratification theory

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References(5)

References

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