A conformal-mapping model for bubbles and fingers of the Rayleigh-Taylor instability

DOI10.1016/S0895-7177(03)90009-4zbMath1048.76023MaRDI QIDQ597451

Toshio Yoshikawa, Balk, Alexander M.

Publication date: 6 August 2004

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

InterfaceVariational principleRichtmyer-Meshkov instability

Mathematics Subject Classification ID

Interfacial stability and instability in hydrodynamic stability (76E17) Complex variables methods applied to problems in fluid mechanics (76M40)

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Cites Work

• An overview of Rayleigh-Taylor instability
• Long-time behavior of the \(N\)-finger solution of the Laplacian growth equation
• High-Jacobian approximation in the free surface dynamics of an ideal fluid
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• A Lagrangian for water waves
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• Potential flow models of Rayleigh–Taylor and Richtmyer–Meshkov bubble fronts
• A weakly nonlinear theory for the dynamical Rayleigh–Taylor instability
• The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I
• Dynamics of strongly nonlinear fingers and bubbles of the free surface of an ideal fluid