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

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

2009-04-21

arxiv.org/abs/0904.3283v1

Mathematics

Analysis of PDEs

18 pages

Scientific paper

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
$Q^{\beta,-1}_{\alpha, loc}(\mathbb{R}^{3}).$ This result applies to the usual
incompressible Navier-Stokes equations and deduces a known link.

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