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

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Abstract

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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Chen, Q., Miao, C., & Zhang, Z. (2010). Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities. Revista Matematica Iberoamericana, 26(3), 915–946. https://doi.org/10.4171/RMI/621

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