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Existence of a strong solution and trajectory attractor for a climate dynamics model with topography effects

Authors:

Ruxu Liana,b,∗ and Qingcun Zengb


a College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, PR China

b Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, PR China

 

Abstract:

The primitive three-dimensional viscous equations for large-scale atmosphere dynamics are commonly used in weather and climate predictions, and multiple theoretical analyses have been performed on them. However, few studies have considered topographic effects, which have a remarkable influence on climate factors (e.g., atmospheric temperature and wind velocity). In this study, a climate dynamics model with topography and non-stationary external force effects based on the Navier–Stokes equations and a temperature equation is analyzed. The existence and uniqueness of a global strong solution for this system is demonstrated based on the initial data assumptions. In addition, the existence of a universal attractor in the dynamic system is confirmed.

 

Key words:

Climate dynamics, Atmospheric equations, Strong solution, Universal attractor, Topography

 

Citation:

R.X. LianQ.C. Zeng:Existence of a strong solution and trajectory attractor for a Climate Dynamics model with topography effects, Journal of Mathematical Analysis and Applications, 458(2018), 628-675.


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