Continuous dependence of primitive equations of the atmosphere with vapor saturation

LI Yuanfei; XIAO Shengzhong; ZENG Peng

doi:10.3969/j.issn.1000-5641.2021.03.005

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May 2021

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LI Yuanfei, XIAO Shengzhong, ZENG Peng. Continuous dependence of primitive equations of the atmosphere with vapor saturation[J]. Journal of East China Normal University (Natural Sciences), 2021, (3): 34-46. doi: 10.3969/j.issn.1000-5641.2021.03.005

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LI Yuanfei, XIAO Shengzhong, ZENG Peng. Continuous dependence of primitive equations of the atmosphere with vapor saturation[J]. Journal of East China Normal University (Natural Sciences), 2021, (3): 34-46. doi: 10.3969/j.issn.1000-5641.2021.03.005

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Continuous dependence of primitive equations of the atmosphere with vapor saturation

doi: 10.3969/j.issn.1000-5641.2021.03.005

1.
School of Data Science, Guangzhou Huashang College, Guangzhou　511300, China
2.
Guangdong AIB Polytechnic, Guangzhou　510507, China

Received Date: 2020-03-12
Publish Date: 2021-05-01

Abstract

Abstract

In this paper, we study the primitive equations of the atmosphere in the presence of vapor saturation; these equations are often used in forecasting weather in a cylindrical region. By using the technique of differential inequality and the method of energy estimation, we obtain the prior bounds of the solutions for the equations, and we prove the continuous dependence of the equations on the boundary parameters.
- primitive equations,
- continuous dependence,
- energy estimates,
- weather forecast

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References(23)

References

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