Nonlinear instability of Hele-Shaw flows with smooth viscous profiles
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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. 2008 Elsevier Inc. All rights reserved.
Journal of Differential Equations
author list (cited authors)
Daripa, P., & Hwang, H. J.
complete list of authors
Daripa, Prabir||Hwang, Hyung Ju