On the Two-Dimensional Large-Scale Primitive Equations in Oceanic Dynamics (Ⅰ)

HUANG Dai-wen; GUO Bo-ling

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HUANG Dai-wen, GUO Bo-ling. On the Two-Dimensional Large-Scale Primitive Equations in Oceanic Dynamics (Ⅰ)[J]. Applied Mathematics and Mechanics, 2007, 28(5): 521-531.

Citation:

HUANG Dai-wen, GUO Bo-ling. On the Two-Dimensional Large-Scale Primitive Equations in Oceanic Dynamics (Ⅰ)[J]. Applied Mathematics and Mechanics, 2007, 28(5): 521-531.

Citation:

HUANG Dai-wen, GUO Bo-ling. On the Two-Dimensional Large-Scale Primitive Equations in Oceanic Dynamics (Ⅰ)[J]. Applied Mathematics and Mechanics, 2007, 28(5): 521-531.

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On the Two-Dimensional Large-Scale Primitive Equations in Oceanic Dynamics (Ⅰ)

HUANG Dai-wen^1,2,
GUO Bo-ling¹

1.
Institute of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China;

Received Date: 2006-03-06
Rev Recd Date: 2007-04-09
Publish Date: 2007-05-15

Abstract

Abstract

The initial boundary value problem for the two-dimensional primitive equations of largescale oceanic motion in geophysics is considered.It was assumed that the depth of the ocean is a positive constant.First,if the initial data are square integrable,then,by Fadeo-Galerkin method,the existence of the global weak sohctions for the problem was obtained.Second,if the initial data and their vertical derivatives are all square integrable,then by Faedo-Galerkin method and anisotropit inequahites,the existerce and uniqueness of the global weakly strong solution for the above initial boundary problem was obtained.
- primitive equations of the ocean,
- global weakly strong solution,
- existence,
- uniqueness

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References(14)

References

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