Potential Symmetry Studies on a Rotating Fluid System
Joint Authors
Jia, Man
Lou, S. Y.
Huang, F.
Tang, X. Y.
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-06
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Lou, S. Y.& Jia, Man& Huang, F.& Tang, X. Y.. 2012. Potential Symmetry Studies on a Rotating Fluid System. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-450936
Modern Language Association (MLA)
Lou, S. Y.…[et al.]. Potential Symmetry Studies on a Rotating Fluid System. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-450936
American Medical Association (AMA)
Lou, S. Y.& Jia, Man& Huang, F.& Tang, X. Y.. Potential Symmetry Studies on a Rotating Fluid System. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-450936
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450936
