Abstract
We consider the motion of an elastic closed curve with constant enclosed area. This motion is governed by a system involving fourth order parabolic equations. We shall prove that this system has a unique classical solution for all time and the solution converges uniformly to a stationary solution together with its derivatives of any order.
Original language | English |
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Pages (from-to) | 1871-1912 |
Number of pages | 42 |
Journal | Indiana University Mathematics Journal |
Volume | 56 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2007 |
Externally published | Yes |
Keywords
- Elastic energy
- Gradient flow with two constraints
- Isoperimetric inequality
ASJC Scopus subject areas
- Mathematics(all)