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A note on the two-phase Hele-Shaw problem. (English) Zbl 0962.76028

Summary: We discuss some techniques for finding explicit solutions to immiscible two-phase flow in a Hele-Shaw cell, exploiting properties of the Schwarz function of the interface between the fluids. We also discuss the well-posedness of this problem.

MSC:

76D27 Other free boundary flows; Hele-Shaw flows
76T10 Liquid-gas two-phase flows, bubbly flows
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