Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

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.


References [Enhancements On Off] (What's this?)

  • [1] 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) MR 1247441
  • [2] 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)
  • [3] S. Richardson, Hele Shaw flows with time-dependent free boundaries involving injection through slits, Stud. Appl. Math. 87, 175-194 (1992) MR 1170343
  • [4] 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) MR 1285033

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DOI: https://doi.org/10.1090/qam/1447579
Article copyright: © Copyright 1997 American Mathematical Society

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