4 problems
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The conjectured dispersion-relation structure for sharp stratification
Let , and let and be the density and velocity profiles defined by the sharp stratification and shear-flow setup. Let …
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The inverse-thickness scaling conjecture for the Kelvin–Helmholtz cutoff frequency
Let denote the stratification thickness, and let be the largest frequency at which the computed dispersion relation exhibits a Kelvin–Helmholtz instabili…
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The Kelvin–Helmholtz obstruction to the sharp stratification limit
The stratified Euler equations describe a fluid with a smoothly varying density and velocity profile, while the bilayer Euler equations describe the corresponding sharp two-layer l…
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Thalabard–Bec–Mailybaev universal linear-growth conjecture for Kelvin–Helmholtz mixing layers
Let the mixing layer be the region of a Kelvin–Helmholtz flow produced by the evolution of a shear interface, and let its size be measured as a function of time. Thalabard–Bec–Mail…