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Surface diffusion with triple junctions: A stability criterion for stationary solutions
Garcke, Harald, Ito, Kazuo und Kohsaka, Yoshihito (2010) Surface diffusion with triple junctions: A stability criterion for stationary solutions. Advances in Differential Equations 15 (5-6), S. 437-472.Veröffentlichungsdatum dieses Volltextes: 24 Mrz 2010 06:46
Artikel
DOI zum Zitieren dieses Dokuments: 10.5283/epub.13768
Zusammenfassung
We study a fourth order geometric evolution problem on a network of curves in a bounded domain . The flow decreases a weighted total length of the curves and preserves the enclosed volumes. Stationary solutions of the flow are critical points of a partition problem in . In this paper we study the linearized stability of stationary solutions using the H−1-gradient flow structure of the problem. ...
We study a fourth order geometric evolution problem on a network of curves
in a bounded domain
. The flow decreases a weighted total length of the curves and
preserves the enclosed volumes. Stationary solutions of the flow are critical points of
a partition problem in
. In this paper we study the linearized stability of stationary
solutions using the H−1-gradient flow structure of the problem. Important issues are the
development of an appropriate PDE formulation of the geometric problem and Poincar´e
type estimate on a network of curves.
Beteiligte Einrichtungen
Details
| Dokumentenart | Artikel | ||||||||||||
| Titel eines Journals oder einer Zeitschrift | Advances in Differential Equations | ||||||||||||
| Ort der Veröffentlichung: | Regensburg | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Schriftenreihe der Universität Regensburg: | Preprintreihe der Fakultät Mathematik | ||||||||||||
| Band: | 15 | ||||||||||||
| Nummer des Zeitschriftenheftes oder des Kapitels: | 5-6 | ||||||||||||
| Seitenbereich: | S. 437-472 | ||||||||||||
| Datum | 2010 | ||||||||||||
| Institutionen | Mathematik > Prof. Dr. Harald Garcke | ||||||||||||
| Klassifikation |
| ||||||||||||
| Stichwörter / Keywords | fourth order geometric evolution problem, surface diffusion, network of curves, linearized stability, Poincar´e inequality on a network, H−1-gradient flow | ||||||||||||
| Dewey-Dezimal-Klassifikation | 500 Naturwissenschaften und Mathematik > 510 Mathematik | ||||||||||||
| Status | Veröffentlicht | ||||||||||||
| Begutachtet | Ja, diese Version wurde begutachtet | ||||||||||||
| An der Universität Regensburg entstanden | Zum Teil | ||||||||||||
| URN der UB Regensburg | urn:nbn:de:bvb:355-epub-137688 | ||||||||||||
| Dokumenten-ID | 13768 |
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