JournalsrmiVol. 26, No. 3pp. 915–946

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

  • Qionglei Chen

    Institute of Applied Physics and Computational Mathematics, Beijing, China
  • Changxing Miao

    Institute of Applied Physics and Computational Mathematics, Beijing, China
  • Zhifei Zhang

    Peking University, Beijing, China
Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities cover

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.

Cite this article

Qionglei Chen, Changxing Miao, Zhifei Zhang, Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities. Rev. Mat. Iberoam. 26 (2010), no. 3, pp. 915–946

DOI 10.4171/RMI/621