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math.AP2025
Long-wave instability of periodic shear flows for the 2D Navier-Stokes equations
Maria Colombo, Michele Dolce, Riccardo Montalto +1
In 1959, Kolmogorov proposed to study the instability of the shear flow in the vanishing viscosity regime in tori . This question was l…
math.AP2025★ 1 cited
On higher order isolas of unstable Stokes waves
Massimiliano Berti, Livia Corsi, Alberto Maspero +1
We overview the recent result [3, Theorem 1.1] about the high-frequency instability of Stokes waves subject to longitudinal perturbations. The spectral bands of unstable eigenvalue…