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Global existence of entropy-weak solutions to the compressible Navier–Stokes equations with non-linear density dependent viscosities

Global existence of entropy-weak solutions to the compressible Navier–Stokes equations with non-linear density dependent viscosities

In this paper, we considerably extend the results on global existence of entropy-weak solutions to the compressible Navier–Stokes system with density dependent viscosities obtained, independently (using different strategies) by Vasseur–Yu [Invent. Math. 206 (2016) and arXiv:1501.06803 (2015)] and by Li–Xin [arXiv:1504.06826 (2015)]. More precisely, we are able to consider a …