Existence and Uniqueness of Global Strong Solutions of Two Models in Atmospheric Dynamics

Mu Mu

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Mu Mu. Existence and Uniqueness of Global Strong Solutions of Two Models in Atmospheric Dynamics[J]. Applied Mathematics and Mechanics, 1986, 7(10): 907-912.

Citation:

Mu Mu. Existence and Uniqueness of Global Strong Solutions of Two Models in Atmospheric Dynamics[J]. Applied Mathematics and Mechanics, 1986, 7(10): 907-912.

Citation:

Mu Mu. Existence and Uniqueness of Global Strong Solutions of Two Models in Atmospheric Dynamics[J]. Applied Mathematics and Mechanics, 1986, 7(10): 907-912.

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Existence and Uniqueness of Global Strong Solutions of Two Models in Atmospheric Dynamics

Mu Mu

Department of Applied Mathematics of Shanghai Jiaotong University, Shanghai

Received Date: 1985-06-19
Publish Date: 1986-10-15

Abstract

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].

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References(7)

References

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[3]	穆穆,非线性涡度方程初边值问题的整体光滑解及其应用,数学物理学报(待发表).
[4]	穆穆,非线性涡度方程Cauchy问题的整体光滑解及其应用,投数学年刊.
[5]	穆穆,非线性涡度方程的若干定解问题,复旦大学博士学位论文(1985).
[6]	Adams,R,A.,Sobolev Spaces,New York,Academic Press(1975).
[7]	Triebel,H.,Interpolation Theory,Function Space,Differential Operators,North-Hol-land Publishing Company(1978).