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20212026
most cited-Density of Wild Initial Data for the Hypodissipative Navier-Stokes Equations

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.AP2026

Weak and dissipative solutions for the Hasegawa-Mima equation

Michele Gorini

We consider the Hasegawa-Mima equation in its ``Euler-like'' velocity form: \[\partial_t(u-Δ^{-1}u)+(u\cdot\nabla)u-u^\perp\log n_0=0,\] being the time-independent function a…

math.AP2023

Density of weak solutions of the fractional Navier-Stokes equations in the smooth divergence-free vector fields

Michele Gorini

In this paper, we consider the fractional Navier-Stokes equations. We extend a previous non-uniqueness result due to Cheskidov and Luo, found in [5], from Navier-Stokes to the frac…

math.AP2021★ 1 cited

-Density of Wild Initial Data for the Hypodissipative Navier-Stokes Equations

Michele Gorini

In this paper we deal with the Cauchy problem for the hypodissipative Navier-Stokes equations in the three-dimensional periodic setting. For all Laplacian exponents , we…