On nonlinear Rayleigh-Taylor instabilities (Q2508623)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On nonlinear Rayleigh-Taylor instabilities |
scientific article |
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On nonlinear Rayleigh-Taylor instabilities (English)
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13 October 2006
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The authors study the stability of interface between two incompressible inviscid immiscible fluids with different densities in the presence of a constant gravity field. The linearly unstable modes for Rayleigh-Taylor instability are shown to become nonlinearly unstable for the full nonlinear system, with explicit growth estimates. The proof is based on the abstract Cauchy-Kovalevskaya theorem applied to Fourier-transformed equations in analytic spaces.
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Fourier transform
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nonlinearly unstable mode
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Cauchy-Kovalevskaya theorem
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nonlinear Rayleigh-Taylor instability
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