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Module by: Leobardo Rosales. E-mail the author

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Name: Minimizing the Energy of Vector Fields on Surfaces of Revolution
ID: m30944
Language: English (en)
Summary: This report summarizes work done as part of the Calculus of Variations PFUG under Rice University's VIGRE program. VIGRE is a program of Vertically Integrated Grants for Research and Education in the Mathematical Sciences under the direction of the National Science Foundation. A PFUG is a group of Postdocs, Faculty, Undergraduates and Graduate students formed around the study of a common problem. This module investigates the ``kinetic energy" of unit-length vector fields on surfaces of rotation, focusing mainly on minimizing energy given a surface and boundary conditions. Questions of existence and uniqueness are explored. This work was studied in the Rice University VIGRE 2009 Summer Undergraduate Internship Program.
Subject: Mathematics and Statistics
Keywords: Calculus of Variations, Mathematics, Vector Fields
License: Creative Commons Attribution License CC-BY 3.0

Authors: Leobardo Rosales (lrosales@rice.edu)
Copyright Holders: Leobardo Rosales (lrosales@rice.edu)
Maintainers: Leobardo Rosales (lrosales@rice.edu)

Latest version: 1.2 (history)
First publication date: Aug 2, 2009 7:03 pm -0500
Last revision to module: Oct 22, 2009 3:37 pm -0500

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Version History

Version: 1.2 Oct 22, 2009 3:37 pm -0500 by Leobardo Rosales
Changes:
typos

Version: 1.1 Aug 2, 2009 7:26 pm -0500 by Leobardo Rosales
Changes:
uploaded

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American Chemical Society (ACS) Style Guide:

Rosales, L. Minimizing the Energy of Vector Fields on Surfaces of Revolution, OpenStax-CNX Web site. http://cnx.org/content/m30944/1.2/, Oct 22, 2009.

American Medical Assocation (AMA) Manual of Style:

Rosales L. Minimizing the Energy of Vector Fields on Surfaces of Revolution [OpenStax-CNX Web site]. October 22, 2009. Available at: http://cnx.org/content/m30944/1.2/.

American Psychological Assocation (APA) Publication Manual:

Rosales, L. (2009, October 22). Minimizing the Energy of Vector Fields on Surfaces of Revolution. Retrieved from the OpenStax-CNX Web site: http://cnx.org/content/m30944/1.2/

Chicago Manual of Style (Bibliography):

Rosales, Leobardo. "Minimizing the Energy of Vector Fields on Surfaces of Revolution." OpenStax-CNX. October 22, 2009. http://cnx.org/content/m30944/1.2/.

Chicago Manual of Style (Note):

Leobardo Rosales, "Minimizing the Energy of Vector Fields on Surfaces of Revolution," OpenStax-CNX, October 22, 2009, http://cnx.org/content/m30944/1.2/.

Chicago Manual of Style (Reference, in Author-Date style):

Rosales, L. 2009. Minimizing the Energy of Vector Fields on Surfaces of Revolution. OpenStax-CNX, October 22, 2009. http://cnx.org/content/m30944/1.2/.

Modern Languages Association (MLA) Style Manual:

Rosales, Leobardo. Minimizing the Energy of Vector Fields on Surfaces of Revolution. OpenStax-CNX. 22 Oct. 2009 <http://cnx.org/content/m30944/1.2/>.