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math.AP2025
Scale invariant bounds for the Kelvin-Helmholtz instability
Konstantin Kalinin, Govind Menon, Bian Wu
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 s…
math.AP2024
Scale invariant bounds for mixing in the Rayleigh-Taylor instability
Konstantin Kalinin, Govind Menon, Bian Wu
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 str…