| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4611342 | Journal of Differential Equations | 2012 | 15 Pages |
Abstract
In this paper we investigate the L2-flow of elastic curves with clamped boundary conditions in n-dimensional Euclidean spaces. The L2-flow corresponds to a fourth-order parabolic equation. In the case of closed curves, the long-time existence of solutions of this evolution equation has been derived in the literature. We extend this result to the case of open (i.e., non-closed) curves with clamped boundary conditions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
