Nonlinear instability of Hele-Shaw flows with smooth viscous profiles

DOI10.1016/j.jde.2008.07.012zbMath1144.76018OpenAlexW2137003635MaRDI QIDQ947140

Prabir K. Daripa, Hyung-Ju Hwang

Publication date: 29 September 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.07.012

zbMATH Keywords

spectral theoryviscosity gradient driven instability

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (2)

The Rayleigh-Taylor instability of incompressible Euler equations in a horizontal slab domain ⋮ On Rayleigh-Taylor instability in Navier-Stokes-Korteweg equations

Cites Work

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• New bounds for stabilizing Hele-Shaw flows
• Nonlinear instability in an ideal fluid
• On the dynamical Rayleigh-Taylor instability
• Two-stream instabilities in plasmas
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Polymer Floods: A Case Study of Nonlinear Wave Analysis and of Instability Control in Tertiary Oil Recovery
• Stability of one‐dimensional boundary layers by using Green's functions
• Instability of periodic BGK equilibria

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