Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (10): 965-970.

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EXISTENCE AND UNIQUENESS OF GLOBAL STRONG SOLUTIONS OF TWO MODELS IN ATMOSPHERIC DYNAMICS

Mu Mu   

  1. Department of Applied Mathematics of Shanghai Jiaotong University, Shanghai
  • Received:1985-06-19 Online:1986-10-18 Published:1986-10-18

Abstract: In this paper, the author proves by the methods of energy estimates the existence and uniqueness of global strong solutions of barotropic nondivergent model and baroclinic quasi-geostrophic quasi-nondivergent model.The two models are fundamental ones in atmospheric dynamics. The results here generalize the outcome given by the author in [3]-[5] and verify a conjecture posed by Zeng Qing-cun in [1].

Key words: shock, second viscosity, Stokes’ assumption, local differential quadrature, artificial viscosity

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