On solutions for damped fractional Navier-Stokes equations in a critical Lei-Lin-Gevrey space

Bruno S. Donato, Wilberclay G. Melo, Thyago S. R. Santos

We study the fractional Navier-Stokes equations with cubic damping in the specific Lei-Lin-Gevrey space ${\mathcal{X}}_{a,\sigma }^0({\mathbb{R}}^3)$ (with $a\ge 0$ and $\sigma \ge 1$). We establi…