Rotationally symmetric viscous gas flows

W. Weigant, P. I. Plotnikov

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The Dirichlet boundary value problem for the Navier–Stokes equations of a barotropic viscous compressible fluid is considered. The flow region and the data of the problem are assumed to be invariant under rotations about a fixed axis. The existence of rotationally symmetric weak solutions for all adiabatic exponents from the interval (γ*,∞) with a critical exponent γ* < 4/3 is proved.

Original languageEnglish
Pages (from-to)387-400
Number of pages14
JournalComputational Mathematics and Mathematical Physics
Volume57
Issue number3
DOIs
Publication statusPublished - 1 Mar 2017

Keywords

  • Dirichlet boundary value problem
  • Navier–Stokes equations
  • rotational symmetry
  • viscous gas
  • weak solutions
  • NAVIER-STOKES EQUATIONS
  • COMPRESSIBLE ISENTROPIC FLUIDS
  • Navier-Stokes equations

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