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

Zitieren

Dateien zu dieser Ressource

Dateien Größe Format Anzeige

Zu diesem Dokument gibt es keine Dateien.

SCHNÜRER, Oliver Christian, 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. 363(5), pp. 2265-2294

@article{Schnurer2011Evolu-19149, title={Evolution of convex lens-shaped networks under the curve shortening flow}, year={2011}, number={5}, volume={363}, journal={Transactions of the American Mathematical Society}, pages={2265--2294}, author={Schnürer, Oliver Christian 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} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/19149"> <dc:creator>Hell, Juliette</dc:creator> <dc:contributor>Schnürer, Oliver Christian</dc:contributor> <dc:creator>Azouani, Abderrahim</dc:creator> <dc:contributor>Marxen, Tobias</dc:contributor> <dc:contributor>Hell, Juliette</dc:contributor> <dc:creator>Schulze, Felix</dc:creator> <dc:contributor>Sáez, Mariel</dc:contributor> <dc:creator>Georgi, Marc</dc:creator> <dc:creator>Ritthaler, Sandra</dc:creator> <dc:contributor>Georgi, Marc</dc:contributor> <dc:creator>Marxen, Tobias</dc:creator> <dcterms:title>Evolution of convex lens-shaped networks under the curve shortening flow</dcterms:title> <dcterms:bibliographicCitation>Publ. in: Transactions of the American Mathematical Society ; 363 (2011), 5. - pp. 2265-2294</dcterms:bibliographicCitation> <dc:rights>deposit-license</dc:rights> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/19149"/> <dcterms:abstract xml:lang="eng">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.</dcterms:abstract> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2012-05-02T09:50:57Z</dc:date> <dc:creator>Sáez, Mariel</dc:creator> <dc:contributor>Ritthaler, Sandra</dc:contributor> <dc:creator>Jangle, Nihar</dc:creator> <dc:creator>Smith, Brian</dc:creator> <dc:contributor>Azouani, Abderrahim</dc:contributor> <dc:creator>Koeller, Amos</dc:creator> <dcterms:issued>2011</dcterms:issued> <dc:contributor>Schulze, Felix</dc:contributor> <dc:contributor>Jangle, Nihar</dc:contributor> <dc:creator>Schnürer, Oliver Christian</dc:creator> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103605204-4002607-1"/> <dc:contributor>Smith, Brian</dc:contributor> <dc:language>eng</dc:language> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2012-05-02T09:50:57Z</dcterms:available> <dc:contributor>Koeller, Amos</dc:contributor> </rdf:Description> </rdf:RDF>

Das Dokument erscheint in:

KOPS Suche


Stöbern

Mein Benutzerkonto