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Global existence of solutions to the compressible Navier-Stokes equations in weighted Besov spaces (2312.03969v2)
Published 7 Dec 2023 in math.AP
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 $d\geq 3$.
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