Winds Generated by Flows and Riemannian Metrics
American Journal of Science, Engineering and Technology
Volume 2, Issue 1, March 2017, Pages: 15-19
Received: Dec. 22, 2016; Accepted: Jan. 9, 2017; Published: Jan. 24, 2017
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Authors
Savin Treanţă, Faculty of Applied Sciences, University “Politehnica” of Bucharest, Bucharest, Romania
Elena-Laura Dudaş, Faculty of Applied Sciences, University “Politehnica” of Bucharest, Bucharest, Romania
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Abstract
The winds theory is based on PDEs whose unknown is the velocity vector field depending on time and spatial coordinates. The geometric dynamics is formulated using ODEs associated to a flow and a Riemannian metric, where the unknown is the velocity vector field depending on time. In this paper, we join these ideas showing that some geometric dynamics models generate winds. The second part of this paper is focused on the stability analysis of the considered models.
Keywords
Flow, Metric, Geometric Dynamics, Wind, Stability
To cite this article
Savin Treanţă, Elena-Laura Dudaş, Winds Generated by Flows and Riemannian Metrics, American Journal of Science, Engineering and Technology. Vol. 2, No. 1, 2017, pp. 15-19. doi: 10.11648/j.ajset.20170201.13
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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