Potential Symmetry Studies on a Rotating Fluid System
A rotational fluid model which can be used to describe broad vortical flows ranging from large scale to the atmospheric mesoscale and the oceanic submesoscale is studied by the symmetry group theory. After introducing one scalar-, two vector-, and two tensor potentials, we find that the Lie symmetri...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2012/163689 |
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| Summary: | A rotational fluid model which can be used to describe broad vortical flows ranging
from large scale to the atmospheric mesoscale and the oceanic submesoscale is studied
by the symmetry group theory. After introducing one scalar-, two vector-, and two
tensor potentials, we find that the Lie symmetries of the extended system include
many arbitrary functions of z and {z,t}. The obtained Lie symmetries are used to
find some types of exact solutions. One of exact solutions can be used to qualitatively
describe the three-dimensional structure of hurricanes. |
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| ISSN: | 0161-1712 1687-0425 |