Continuous Dependence on Boundary Parameters of the Original Equations for LargeScale Wet Atmosphere

GUO Lianhong; LI Yuanfei

doi:10.21656/1000-0887.410028

Volume 41 Issue 9

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GUO Lianhong, LI Yuanfei. Continuous Dependence on Boundary Parameters of the Original Equations for LargeScale Wet Atmosphere[J]. Applied Mathematics and Mechanics, 2020, 41(9): 1036-1047. doi: 10.21656/1000-0887.410028

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Continuous Dependence on Boundary Parameters of the Original Equations for LargeScale Wet Atmosphere

doi: 10.21656/1000-0887.410028

Department of Applied Mathematics, Huashang College, Guangdong University of Finance & Economics, Guangzhou 511300, P.R.China

Funds: The National Natural Science Foundation of China(11371175)

Received Date: 2020-01-13
Rev Recd Date: 2020-07-10
Publish Date: 2020-09-01

Abstract

Abstract

Large-scale dynamic equations for atmosphere are controlled by the original equations derived from the Navier-Stokes equations, and coupled with the thermodynamics and salinity diffusion transport equations. In the past few decades, the atmosphere, ocean, and atmosphere-ocean coupling original equations were extensively studied from the perspective of mathematics. The previous literatures mainly focused on the mathematical logic or well-posedness of the original equations. The stability of the original equations was addressed. Given the inevitable errors in the model establishment and simplification, the effects of coefficients’ small changes on solutions’ great changes were studied for the original equations. Prior estimates of the solutions, combined with energy estimation and the differential inequality technique, were used to control steam ratios. The results prove the continuous dependence of the solutions to the large-scale wet atmosphere original equations on boundary parameters.
- original equation,
- prior estimation,
- continuous dependence

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References(28)

References

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