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Stability of weak solutions to climate dynamics model with effects of topography and non-constant external force 被引量:7

Stability of weak solutions to climate dynamics model with effects of topography and non-constant external force
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摘要 In this paper, a climate dynamics model with the effects of topography and a non-constant external force, which consists of the Navier-Stokes equations and a temperature equation arising from the evolution process of the atmosphere, was considered.Under certain assumptions imposed on the initial data and by using some delicate estimates and compactness arguments, we proved the L^1-stability of weak solutions to the atmospheric equations. In this paper, a climate dynamics model with the effects of topography and a non-constant external force, which consists of the Navier-Stokes equations and a temperature equation arising from the evolution process of the atmosphere, was considered.Under certain assumptions imposed on the initial data and by using some delicate estimates and compactness arguments, we proved the L^1-stability of weak solutions to the atmospheric equations.
出处 《Science China Earth Sciences》 SCIE EI CAS CSCD 2018年第1期47-59,共13页 中国科学(地球科学英文版)
基金 supported by the National Natural Science Foundation of China (Grant Nos. 41630530, 41575109 & 91230202)
关键词 Climate dynamics Atmospheric equations Weak solutions Stability topography 气候动力学;大气的方程;弱答案;稳定性;地形学;
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