Global existence of solutions to the compressible Navier-Stokes equations in weighted Besov spaces
Abstract
We prove global existence of solutions to the Cauchy problem for the compressible Navier-Stokes equations in Euclidean spaces, given initial data with small norms in Besov and critical weighted Besov spaces. Global existence and a priori bounds in these spaces are obtained for dimension d≥ 3.
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