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• W2338804788 abstract "Motivated by a problem from fluid mechanics, we consider a generalization of the standard curve shortening flow problem for a closed embedded plane curve such that the area enclosed by the curve is forced to decrease at a prescribed rate. Using formal asymptotic and numerical techniques, we derive possible extinction shapes as the curve contracts to a point, dependent on the rate of decreasing area; we find there is a wider class of extinction shapes than for standard curve shortening, for which initially simple closed curves are always asymptotically circular. We also provide numerical evidence that self-intersection is possible for non-convex initial conditions, distinguishing between pinch-off and coalescence of the curve interior." @default.
• W2338804788 created "2016-06-24" @default.
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• W2338804788 date "2016-01-01" @default.
• W2338804788 modified "2023-09-23" @default.
• W2338804788 title "A curve shortening flow rule for closed embedded plane curves with a prescribed rate of change in enclosed area" @default.
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• W2338804788 doi "https://doi.org/10.1098/rspa.2015.0629" @default.
• W2338804788 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/4786043" @default.
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