Michele Dolce

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20242026

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math.AP2025

The long way of a viscous vortex dipole

Michele Dolce, Thierry Gallay

We consider the evolution of a viscous vortex dipole in $R^{2}$ originating from a pair of point vortices with opposite circulations. At high Reynolds number $R e >> 1$ , the dipole ca…

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 $(sin (y), 0)$ in the vanishing viscosity regime in tori $T_{I^} \pm \times T$ . This question was…