Continuous dependence of primitive equations of the atmosphere with vapor saturation

doi:10.3969/j.issn.1000-5641.2021.03.005

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.

Key words: primitive equations, continuous dependence, energy estimates, weather forecast

CLC Number:

O175.29

Yuanfei LI, Shengzhong XIAO, Peng ZENG. Continuous dependence of primitive equations of the atmosphere with vapor saturation[J]. Journal of East China Normal University(Natural Science), 2021, 2021(3): 34-46.

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