复杂地形情况下大气动态模型的弱解和吸引子的存在性

Acta mathematica scientia,Series A

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The Existence of Weak Solutions and the Trajectory Attractors to

the Model of Climate Dynamics

Huang Haiyang;Guo Boling

School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing 100875

Received:2006-09-15 Revised:2007-09-26 Online:2007-12-25 Published:2007-12-25
Contact: Huang Haiyang

Abstract

Abstract: In this paper, the model of climate for weather forecast is studied, in which the pressing force of topography on atmosphere and the divergent effect of airflow are included.The suitable space of functions and the reasonable operators are selected to represent the complex
atmosphere dynamical equations by the simple abstract operator equation, such that the weak solution can be defined. Then the existence of the weak solution is proved by Galerkin method, and the asymptotic behaviors of the weak solution is described by the trajectory attractors.

Key words: Atomsphere equations, Divergent effect, Pressing force of topography, Weak solution, Trajectory attractor.

CLC Number:

35R35

Huang Haiyang;Guo Boling.

The Existence of Weak Solutions and the Trajectory Attractors to

the Model of Climate Dynamics

[J].Acta mathematica scientia,Series A, 2007, 27(6): 1098-1110.

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The Existence of Weak Solutions and the Trajectory Attractors to

the Model of Climate Dynamics

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