On the classification of solutions to the zero-surface-tension model for Hele-Shaw free boundary flows

Hohlov, Y. E.; Howison, S. D.

doi:10.1090/qam/1247441

Authors: Y. E. Hohlov and S. D. Howison
Journal: Quart. Appl. Math. 51 (1993), 777-789
MSC: Primary 76S05; Secondary 35Q30, 76D99
DOI: https://doi.org/10.1090/qam/1247441
MathSciNet review: MR1247441
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Abstract: We discuss the classification of solutions to the zero-surface-tension model for Hele-Shaw flows in bounded and unbounded regions with suction and injection. We use results from the theory of univalent functions to derive estimates for certain geometric properties of the fluid region in the injection case.

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