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A curve shortening flow rule for closed embedded plane curves with a prescribed rate of change in enclosed area
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 p...
Autores principales: | Dallaston, Michael C., McCue, Scott W. |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Royal Society Publishing
2016
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4786043/ https://www.ncbi.nlm.nih.gov/pubmed/26997898 http://dx.doi.org/10.1098/rspa.2015.0629 |
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