On the classification of solutions to the zero-surface-tension model for Hele-Shaw free boundary flows
Author:
S. Richardson
Journal:
Quart. Appl. Math. 55 (1997), 313-319
MSC:
Primary 76D99; Secondary 76S05
DOI:
https://doi.org/10.1090/qam/1447579
MathSciNet review:
MR1447579
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Abstract: We add a possibility to the catalogue of scenarios given by Hohlov and Howison for the behavior of Hele-Shaw free boundary flows when surface tension is assumed to be absent: suction from an initially connected blob of fluid can result in regions of fluid being left marooned some distance from the suction point.
- Y. E. Hohlov and S. D. Howison, On the classification of solutions to the zero-surface-tension model for Hele-Shaw free boundary flows, Quart. Appl. Math. 51 (1993), no. 4, 777–789. MR 1247441, DOI https://doi.org/10.1090/qam/1247441
S. Richardson, Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel, J. Fluid Mech. 56, 609–618 (1972)
- S. Richardson, Hele-Shaw flows with time-dependent free boundaries involving injection through slits, Stud. Appl. Math. 87 (1992), no. 2, 175–194. MR 1170343, DOI https://doi.org/10.1002/sapm1992872175
- S. Richardson, Hele-Shaw flows with time-dependent free boundaries in which the fluid occupies a multiply-connected region, European J. Appl. Math. 5 (1994), no. 2, 97–122. MR 1285033, DOI https://doi.org/10.1017/S0956792500001340
Y. E. Hohlov and S. D. Howison, On the classification of solutions to the zero-surface-tension model for Hele-Shaw free boundary flows, Quart. Appl. Math. 51, 777–789 (1993)
S. Richardson, Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel, J. Fluid Mech. 56, 609–618 (1972)
S. Richardson, Hele Shaw flows with time-dependent free boundaries involving injection through slits, Stud. Appl. Math. 87, 175–194 (1992)
S. Richardson, Hele-Shaw flows with time-dependent free boundaries in which the fluid occupies a multiply-connected region, European J. Appl. Math. 5, 97–122 (1994)
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Article copyright:
© Copyright 1997
American Mathematical Society