Authors:

Ruxu Lian^a,b,？ and Qingcun Zeng^b

^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. Lian, Q.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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