Willmore Flow of Networks. Issue 1 (17th December 2018)

• Record Type: Journal Article
• Authors: Garcke, Harald; Menzel, Julia; Pluda, Alessandra
• Other Names: Müller G. guestEditor.; Ulbrich M. guestEditor.
• Is Part Of: Proceedings in applied mathematics and mechanics. Volume 18:Issue 1(2018)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2018-12-17
• Subjects: Applied mathematics -- Periodicals; Engineering mathematics -- Periodicals; Mathematical physics -- Periodicals; 519
• DOI: 10.1002/pamm.201800071
• Languages: English
• ISSNs: 1617-7061

Abstract

Abstract: We consider networks of curves in the plane moving according to the L 2 –gradient flow of the elastic energy. We prove short time existence in the case of networks composed of three curves that are required to meet at one or two triple junctions. As a variation of the result we additionally impose that they form angles of 120 degrees at the triple junction(s).