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PureMathematicsnØêÆ,2023,13(1),74-80
PublishedOnlineJanuary2023inHans.https://www.hanspub.org/journal/pm
https://doi.org/10.12677/pm.2023.131008
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Closed-ConvexCurvilinearFlowswith
TwoKindsofLengthPreservingConstant
WidthonthePlane
HuiwenZhao
∗
,ZeyuanZhang
YunnanNormalUniversity,KunmingYunnan
Received:Dec.22
nd
,2022;accepted:Jan.21
st
,2023;published:Jan.29
th
,2023
∗ÏÕŠö"
©ÙÚ^:묩,ÜL.²¡þ±~°ü«•Ý4à-‚6[J].nØêÆ,2023,13(1):74-80.
DOI:10.12677/pm.2023.131008
묩§ÜL
Abstract
Inthispaper,wemainlystudytwokindsoflengthpreservingclosedconvexcurve
flowsontheplane.Underthesetwokindsofflows,iftheinitialclosedconvexcurve
isageneralizedconstantwidthcurve,thenthecurvewillstillmaintainageneralized
constantwidthunderthesetwokindsofflows,andthewidthisequaltothewidth
oftheinitialcurve.Especially,iftheinitialcurveisaconstantwidthcurve,thenthe
curvewillalwaysmaintainaconstantwidthunderthesetwokindsofflows,andthe
widthisequaltothewidthoftheinitialcurve.
Keywords
PreserveLengthFlow,GeneralizedWidthFunction,ConstantWidthCurve.
Copyright
c
2023byauthor(s)andHansPublishersInc.
ThisworkislicensedundertheCreativeCommonsAttributionInternationalLicense(CCBY4.0).
http://creativecommons.org/licenses/by/4.0/
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DOI:10.12677/pm.2023.13100875nØêÆ
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DOI:10.12677/pm.2023.13100876nØêÆ
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DOI:10.12677/pm.2023.13100877nØêÆ
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DOI:10.12677/pm.2023.13100878nØêÆ
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ë•©z
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묩§ÜL
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