We derive scale invariant upper bounds for mixing layers in the Kelvin–Helmholtz instability, suggesting new long-time estimates for the Navier–Stokes equation.
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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Kalinin et al. (2025) studied this question.
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