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 $(\sin (y),0)$ in the vanishing viscosity regime in tori ${\mathbb{T}}_{\alpha }\times \mathbb{T}$. This question was l…