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MR1448581 (98b:35080) 35K55 (35Q99 53A04 82D55)
Deckelnick, K.; Elliott, C. M.; Richardson, G. Long time asymptotics for forced curvature flow with applications to the motion of a superconducting vortex. Nonlinearity 10 (1997), no. 3, 655--678.
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