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arXiv · 2303.01889

Scale invariant bounds for mixing in the Rayleigh-Taylor instability

Konstantin Kalinin·Govind Menon·Bian Wu
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Abstract

We study the Rayleigh-Taylor instability for two miscible, incompressible, inviscid fluids. Scale-invariant estimates for the size of the mixing zone and coarsening of internal structures in the fully nonlinear regime are established following techniques introduced for the Saffman-Taylor instability in [OttoMenon, 2004]. These bounds provide optimal scaling laws and reveal the strong role of dissipation in slowing down mixing.

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Konstantin Kalinin, Govind Menon, Bian Wu. 2023-03-03. Scale invariant bounds for mixing in the Rayleigh-Taylor instability. https://doi.org/10.1137/24m1630402

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