Abstract
It is well known that a Hele-Shaw cell is formed by two parallel plates very close to each other, the space between them being partly filled by a liquid which can be injected or extracted through a horifice. In [3] it is shown that for a sufficiently small spacing d between the plates the problem can be considered two-dimensional and, if we denote by P(x,y,t) the pressure in the fluid, the zone where P > 0 is filled with liquid, while the region where P = 0 corresponds to a “dry” zone.
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© 1992 Springer Basel AG
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Andreucci, D., Fasano, A., Primicerio, M. (1992). On the Occurrence of Singularities in Axisymmetrical Problems of Hele-Shaw Type. In: Antontsev, S.N., Khludnev, A.M., Hoffmann, KH. (eds) Free Boundary Problems in Continuum Mechanics. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 106. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8627-7_3
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