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].
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Zeng Quing-cun,Physical-Mathematical Basis of Numerical Weather Prediction. Vol. I, Science Press, Beijing (1979). (Chinese edition) (the English edition is in the press).
Holton, J. R.,An Introduction to Dynamic Meteorology, Academic Press, Inc. (1972).
Mu Mu, Global classical solutions of nonlinear vorticity equations and its application, to appear inChin. J. Math. Phys. (to be published)
Mu Mu, Global classical solutions of Cauchy problems for nonlinear vorticity equations and its applications, to contribute toChin. Ann. Math.
Mu Mu, Some well-posed problems for nonlinear vorticity equations, Thesis for Ph.D. Fudan University, Shanghai (1985).
Adams, R.A.,Sobolev Spaces, New York, Academic Press (1975).
Triebel, H.,Interpolation Theory, Function Spaces, Differential Operators, North-Holland Publishing Company (1978).
Author information
Authors and Affiliations
Additional information
Communicated by Xu Zheng-fan and Jiang Fu-ru.
Rights and permissions
About this article
Cite this article
Mu, M. Existence and uniqueness of global strong solutions of two models in atmospheric dynamics. Appl Math Mech 7, 965–970 (1986). https://doi.org/10.1007/BF01907598
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01907598