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Applied Mathematics and Mechanics

, Volume 26, Issue 7, pp 865–871 | Cite as

Well-posedness of initial value problem for Euler equations of inviscid compressible adiabatic fluid

  • Wang Yue-peng
Article

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.

Key words

Euler equation initial or boundary value problem well-posedness stratification theory 

Chinese Library Classification

O175.29 

2000 Mathematics Subject Classification

35A27 

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References

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2005

Authors and Affiliations

  1. 1.Shanghai Institute of Applied Mathematics and MechanicsShanghai UniversityShanghaiP.R. China

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