Geodesic
Pore Growth in a Planar Liquid Membrane
A. A. Nepomnyashchy1, 2 ; V. A. Volpert2
1 Department of Mathematics and Minerva Center for Nonlinear Physics of Complex Systems, Technion- Israel Institute of Technology, Haifa 32000 Israel
2 Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208-3125, USA
Mathematical modelling of natural phenomena, Tome 10 (2015) no. 4, pp. 76-82

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We study the pore dynamics in a stretched membrane, which is considered as a two-dimensional viscous medium surrounded by a three-dimensional ambient viscous liquid. A closed equation for the pore radius is derived and investigated.
DOI : 10.1051/mmnp/201510404

A. A. Nepomnyashchy 1, 2 ; V. A. Volpert 2

1 Department of Mathematics and Minerva Center for Nonlinear Physics of Complex Systems, Technion- Israel Institute of Technology, Haifa 32000 Israel
2 Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208-3125, USA 
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A. A. Nepomnyashchy; V. A. Volpert. Pore Growth in a Planar Liquid Membrane. Mathematical modelling of natural phenomena, Tome 10 (2015) no. 4, pp. 76-82. doi: 10.1051/mmnp/201510404

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