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

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

2008-11-26

arxiv.org/abs/0811.4215v1

Rev. Mat. Iberoamericana, 26 (2010) 915-946

Mathematics

Analysis of PDEs

27pages

Scientific paper

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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