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Asymptotic Behavior of β-Polygon Flows

Asymptotic Behavior of β-Polygon Flows

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2077517656

Asymptotic Behavior of β-Polygon Flows

About this item

Full title

Asymptotic Behavior of β-Polygon Flows

Publisher

New York: Springer US

Journal title

The Journal of geometric analysis, 2018-07, Vol.28 (3), p.2902-2925

Language

English

Formats

Publication information

Publisher

New York: Springer US

More information

Scope and Contents

Contents

In this article we investigate a family of nonlinear evolutions of polygons in the plane called the
β
-polygon flow and obtain some results analogous to results for the smooth curve shortening flow: (1) any planar polygon shrinks to a point and (2) a regular polygon with five or more vertices is asymptotically stable in the sense that nearby...

Alternative Titles

Full title

Asymptotic Behavior of β-Polygon Flows

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2077517656

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2077517656

Other Identifiers

ISSN

1050-6926

E-ISSN

1559-002X

DOI

10.1007/s12220-017-9940-y

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