Scale invariant bounds for the Kelvin-Helmholtz instability
Konstantin Kalinin, Govind Menon, Bian Wu
TL;DR
This paper establishes scale-invariant bounds for the Kelvin-Helmholtz instability by deriving uniform long-time a-priori estimates for the 2D Navier-Stokes equations, enhancing understanding of mixing layer behavior.
Contribution
It introduces new scale-invariant upper bounds for the mixing layer size in Kelvin-Helmholtz instability using robust long-time estimates.
Findings
Scale-invariant bounds for mixing layer size
Uniform estimates independent of Reynolds number
Enhanced understanding of Kelvin-Helmholtz dynamics
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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Taxonomy
TopicsTribology and Lubrication Engineering · Elasticity and Material Modeling · Geophysics and Gravity Measurements