Evolution of convex lens-shaped networks under the curve shortening flow

Schnürer, Oliver C.; Azouani, Abderrahim; Georgi, Marc; Hell, Juliette; Jangle, Nihar; Koeller, Amos; Marxen, Tobias; Ritthaler, Sandra; Sáez, Mariel; Schulze, Felix; Smith, Brian

Evolution of convex lens-shaped networks under the curve shortening flow

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2011

Autor:innen

Schnürer, Oliver C.

Azouani, Abderrahim

Georgi, Marc

Hell, Juliette

Jangle, Nihar

Koeller, Amos

Marxen, Tobias

Ritthaler, Sandra

Sáez, Mariel

Schulze, Felix

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URI (zitierfähiger Link)

http://nbn-resolving.de/urn:nbn:de:bsz:352-191495

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Transactions of the American Mathematical Society. 2011, 363(5), pp. 2265-2294

Zusammenfassung

We consider convex symmetric lens-shaped networks in R2 that evolve under the curve shortening flow. We show that the enclosed convex domain shrinks to a point in finite time. Furthermore, after appropriate rescaling the evolving networks converge to a self-similarly shrinking network, which we prove to be unique in an appropriate class. We also include a classification result for some self-similarly shrinking networks.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

SCHNÜRER, Oliver C., Abderrahim AZOUANI, Marc GEORGI, Juliette HELL, Nihar JANGLE, Amos KOELLER, Tobias MARXEN, Sandra RITTHALER, Mariel SÁEZ, Felix SCHULZE, Brian SMITH, 2011. Evolution of convex lens-shaped networks under the curve shortening flow. In: Transactions of the American Mathematical Society. 2011, 363(5), pp. 2265-2294

BibTex

@article{Schnurer2011Evolu-19149,
  year={2011},
  title={Evolution of convex lens-shaped networks under the curve shortening flow},
  number={5},
  volume={363},
  journal={Transactions of the American Mathematical Society},
  pages={2265--2294},
  author={Schnürer, Oliver C. and Azouani, Abderrahim and Georgi, Marc and Hell, Juliette and Jangle, Nihar and Koeller, Amos and Marxen, Tobias and Ritthaler, Sandra and Sáez, Mariel and Schulze, Felix and Smith, Brian}
}

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Universitätsbibliographie

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