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ID 53048
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Author
Kim, Young Wook
Koh, Sung-Eun
Rossman, Wayne
Shin, Heayong
Umehara, Masaaki
Yamada, Kotaro
Yang, Seong-Deog
Abstract
Space-like maximal surfaces and time-like minimal surfaces in Lorentz-Minkowski 3-space R31 are both characterized as zero mean curvature surfaces. We are interested in the case where the zero mean curvature surface changes type from space-like to time-like at a given non-degenerate null curve. We consider this phenomenon and its interesting connection to 2-dimensional fluid mechanics in this expository article.
Keywords
maximal surface
type change
zero mean curvature
subsonic flow
supersonic flow
stream function
Published Date
2015-01
Publication Title
Mathematical Journal of Okayama University
Volume
volume57
Issue
issue1
Publisher
Department of Mathematics, Faculty of Science, Okayama University
Start Page
173
End Page
200
ISSN
0030-1566
NCID
AA00723502
Content Type
Journal Article
language
英語
Copyright Holders
Copyright©2015 by the Editorial Board of Mathematical Journal of Okayama University
File Version
publisher
Refereed
True
Submission Path
mjou/vol57/iss1/11