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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...

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Detalles Bibliográficos
Autores principales: Dallaston, Michael C., McCue, Scott W.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2016
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