The elastic flow with obstacles: small obstacle results
Abstract: We consider a parabolic obstacle problem for Euler’s elastic energy of graphs with fixed ends. We show global existence, well-posedness and subconvergence provided that the obstacle and the initial datum are suitably ‘small’. For symmetric cone obstacles we can improve the subconvergence to convergence. Qualitative aspects such as energy dissipation, coincidence with the obstacle and time regularity are also examined
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Notes
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Applied mathematics & optimization. - 84, S1 (2021) , 355-402, ISSN: 1432-0606
- Event
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Veröffentlichung
- (where)
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Freiburg
- (who)
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Universität
- (when)
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2021
- Creator
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Müller, Marius
- DOI
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10.1007/s00245-021-09773-9
- URN
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urn:nbn:de:bsz:25-freidok-2218923
- Rights
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Kein Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:28 AM CEST
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Associated
- Müller, Marius
- Universität
Time of origin
- 2021
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