Evolving a Kirchhoff elastic rod without self-intersections
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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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.
|Creators||Lin, C. C.and Schwetlick, H. R.|
|Uncontrolled Keywords||writhe,geometric flows,kirchhoff elastic,rods,fourth-order parabolic equations|
|Departments||Faculty of Science > Mathematical Sciences|
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