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Global Existence of Weak Solution to the Compressible Prandtl Equations

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Abstract

We study the two dimensional boundary layer problem for compressible Navier–Stokes equations, provided that the density is favourable. We employ the viscous splitting method to establish global existence of weak solutions to the compressible Prandtl equations.

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Authors and Affiliations

  1. Department of Mathematics, School of Science, Wuhan University of Technology, Wuhan, 430070, People’s Republic of China

    Min Ding

  2. Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, People’s Republic of China

    Shengbo Gong

  3. Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA

    Shengbo Gong

Authors
  1. Min Ding
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  2. Shengbo Gong
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Correspondence to Min Ding.

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Communicated by G.-Q. Chen

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Ding, M., Gong, S. Global Existence of Weak Solution to the Compressible Prandtl Equations. J. Math. Fluid Mech. 19, 239–254 (2017). https://doi.org/10.1007/s00021-016-0274-5

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  • DOI: https://doi.org/10.1007/s00021-016-0274-5

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