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arXiv · 2410.14557

Scale invariant bounds for the Kelvin-Helmholtz instability

Konstantin Kalinin·Govind Menon·Bian Wu
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Abstract

We derive robust long-time a-priori estimates for the Navier-Stokes equation in a two-dimensional infinite strip which are uniform in the Reynolds number. These estimates provide several new scale invariant upper bounds for the size of the mixing layer in the Kelvin-Helmholtz instability.

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Konstantin Kalinin, Govind Menon, Bian Wu. 2024-10-18. Scale invariant bounds for the Kelvin-Helmholtz instability. https://arxiv.org/abs/2410.14557

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