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Evolving a Kirchhoff elastic rod without self-intersections


Reference:

Lin, C. C. and Schwetlick, H. R., 2009. Evolving a Kirchhoff elastic rod without self-intersections. Journal of Mathematical Chemistry, 45 (3), pp. 748-768.

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Official URL:

http://dx.doi.org/10.1007/s10910-008-9383-6

Abstract

In this paper we study the problem on how to find an equilibrium state of a Kirchhoff elastic rod by evolving it in a certain way, called a geometric flow. The elastic energy of rods would decrease during the geometric flow. We show that rods remain smooth during the geometric flow as long as they stay embedded, e.g., self-penetrations do no occur. Furthermore, rods would approach an equilibrium configuration asymptotically if self-penetrations are avoided during the flow.

Details

Item Type Articles
CreatorsLin, C. C.and Schwetlick, H. R.
DOI10.1007/s10910-008-9383-6
Uncontrolled Keywordswrithe, geometric flows, kirchhoff elastic, rods, fourth-order parabolic equations
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code14005

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