On the nonlinear development of two-dimensional and three-dimensional perturbations in the presence of Rayleigh-Taylor instability

DOI10.1007/BF01091027zbMath0589.76065OpenAlexW2012845569MaRDI QIDQ1074434

S. Ya. Gertsenshtejn, V. M. Chernyavskij

Publication date: 1985

Published in: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01091027

zbMATH Keywords

Hilbert problemRayleigh-Taylor instabilityFourier seriesconformal mapping methodthree-dimensional perturbations of finite amplitudecharacteristic spectral distributionscharacteristic time of nonlinear development of the perturbationsdestabilizing effect of the short-wave componentsdevelopment of perturbationsregularizing action of the surface tensionSchwartz integrals

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Simulation of the instability of an accelerating gaseous envelope

Cites Work

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• Rayleigh-Taylor instability and the use of conformal maps for ideal fluid flow
• Methods for numerical conformal mapping
• Applications of numerical conformal mapping
• Taylor instability of finite surface waves
• Vortex simulations of the Rayleigh–Taylor instability
• The deformation of steep surface waves on water - I. A numerical method of computation
• Numerical Study of Two Fluid Rayleigh-Taylor Instability

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