On the Cauchy Problem of One Type of Atmosphere Evolution Equations

HE Juan-xiong; HE You-hua

Volume 27 Issue 10

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(10): 1235-1242

HE Juan-xiong, HE You-hua. On the Cauchy Problem of One Type of Atmosphere Evolution Equations[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1235-1242.

Citation:

HE Juan-xiong, HE You-hua. On the Cauchy Problem of One Type of Atmosphere Evolution Equations[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1235-1242.

Citation:

HE Juan-xiong, HE You-hua. On the Cauchy Problem of One Type of Atmosphere Evolution Equations[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1235-1242.

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On the Cauchy Problem of One Type of Atmosphere Evolution Equations

HE Juan-xiong¹,
HE You-hua²

1.
ICCES, Institute of Atmospheric Physics, CAS, Beijing 100029, P. R. China;

Received Date: 2003-09-02
Rev Recd Date: 2006-03-24
Publish Date: 2006-10-15

Abstract

Abstract

One type of evolution atmosphere equations was discussed. It is found that according to the stratification theory, 1) the inertial force has no influence on the criterion of the well-posed Cauchy problem; 2) the compressibility plays no role on the well posed condition of the Cauchy problem of the viscid atmosphere equations, but changes the well posed condition of the viscid atmosphere equations; 3) this type of atmosphere evolution equations is ill-posed on the hyperplane t=0 in spite of its compressibility and viscosity; 4) the Cauchy problem of compressible viscosity atmosphere with still initial motion is ill-posed.
- well-posedness,
- viscosity,
- compressibility,
- stratification theory

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