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 language | English |
---|---|
Pages (from-to) | 387-400 |
Number of pages | 14 |
Journal | Computational Mathematics and Mathematical Physics |
Volume | 57 |
Issue number | 3 |
DOIs | |
Publication status | Published - 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