Generalized Naiver-Stokes equations with initial data in local Q-type spaces

Abstract

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 Qβ,-1α, loc(R3). This result applies to the usual incompressible Navier-Stokes equations and deduces a known link.

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