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- W2137003635 abstract "We rigorously derive nonlinear instability of Hele-Shaw flows moving with a constant velocity in the presence of smooth viscosity profiles where the viscosity upstream is lower than the viscosity downstream. This is a single-layer problem without any material interface. The instability of the basic flow is driven by a viscosity gradient as opposed to conventional interfacial Saffman–Taylor instability where the instability is driven by a viscosity jump across the interface. Existing analytical techniques are used in this paper to establish nonlinear instability." @default.
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- W2137003635 date "2008-10-01" @default.
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- W2137003635 title "Nonlinear instability of Hele-Shaw flows with smooth viscous profiles" @default.
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- W2137003635 doi "https://doi.org/10.1016/j.jde.2008.07.012" @default.
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