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Boundary Layers for the Navier–Stokes Equations¶of Compressible Fluids

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Abstract:

The global unique solvability is proved for the Navier–Stokes equations of compressible fluids for the one-dimensional spiral flows between two circular cylinders. The zero shear viscosity limit μ→ 0 is justified. The value O(μα), 0 < α < 1/2, is established for the boundary layer thickness.

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Authors and Affiliations

  1. Instituto de Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, CEP 21945-970, RJ, Brazil. E-mail: hermano@lpim.ufrj.br; shelukhi@dmm.ufrj.br, , , , , , BR

    Hermano Frid

  2. Lavrentyev Institute of Hydrodynamics, Novosibirsk, 630090, Russia. E-mail: shelukhin@hydro.nsc.ru, , , , , , RU

    Vladimir Shelukhin

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  1. Hermano Frid
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  2. Vladimir Shelukhin
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Received: 11 December 1998 / Accepted: 9 June 1999

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Frid, H., Shelukhin, V. Boundary Layers for the Navier–Stokes Equations¶of Compressible Fluids. Comm Math Phys 208, 309–330 (1999). https://doi.org/10.1007/s002200050760

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  • DOI: https://doi.org/10.1007/s002200050760

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