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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.


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Article copyright: © Copyright 1997 American Mathematical Society