Examinations on a Three-Dimensional Differentiable Vector Field That Equals its Own Curl

Loading...

View/Download File

1810.pdf (56.41 KB)

Persistent link to this item

https://hdl.handle.net/11299/3683

Statistics

View Statistics

Journal Title

Journal ISSN

Volume Title

Title

Examinations on a Three-Dimensional Differentiable Vector Field That Equals its Own Curl

Authors

Ou, Biao

Published Date

2001-07

Publisher

Type

Abstract

Consider the differential equation curl f = f for a 3-dimensional differentiable vector field f. We prove that f is analytic and then prove an existence and uniqueness theorem for the differential equation with a prescribed boundary data. We also outline with a few variations Professor J. Ericksen's work on a unit vector field that equals its own curl.

Keywords

Description

Related to

Institute for Mathematics and Its Applications>IMA Preprints Series

Replaces

License

Collections

IMA Preprints Series

Series/Report Number

Funding information

Isbn identifier

Doi identifier

Previously Published Citation

Suggested citation

Ou, Biao. (2001). Examinations on a Three-Dimensional Differentiable Vector Field That Equals its Own Curl. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3683.

Content distributed via the University Digital Conservancy may be subject to additional license and use restrictions applied by the depositor. By using these files, users agree to the Terms of Use. Materials in the UDC may contain content that is disturbing and/or harmful. For more information, please see our statement on harmful content in digital repositories.