The motion of elastic planar closed curves under the area-preserving condition
Shinya Okabe
74H4035K5574G6574B20elastic energygradient flow with two constraintsisoperimetric inequality
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.
Indiana University Mathematics Journal
2007
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10.1512/iumj.2007.56.3015
10.1512/iumj.2007.56.3015
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Indiana Univ. Math. J. 56 (2007) 1871 - 1912
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