Generalized Naiver-Stokes equations with initial data in local $Q$-type spaces
Abstract
Description
In 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 pages
18 pages