2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227923In this paper, we establish a link between Leray mollified solutions of the three-dimensional generalized Naiver-Stokes equations and mild solutions for initial data in the adherence of the test functions for the norm of $Q^{β,-1}_{α, loc}(\mathbb{R}^{3}).$ This result applies to the usual incompressible Navier-Stokes equations and deduces a known link.18 pagesAnalysis of PDEsGeneralized Naiver-Stokes equations with initial data in local $Q$-type spacestext