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Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities

Qionglei Chen, Changxing Miao and Zhifei Zhang
Arxiv ID: 0811.4215Last updated: 5/8/2020
In this paper, we prove the local well-posedness in critical Besov spaces for the compressible Navier-Stokes equations with density dependent viscosities under the assumption that the initial density is bounded away from zero.

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