On the asymptotic structure of a Navier-Stokes flow past a rotating body. (English) Zbl 1296.35122
The present paper deals with a three-dimensional steady-state problem for a body, with a connected boundary, moving in an incompressible Navier-Stokes liquid that fills the whole exterior of the body. Prescribed non-zero translational and angular velocities are assumed constant. Assuming translational and angular velocities directed along the same axis, considering the no-slip boundary condition, and neglecting external force in the fluid, an asymptotic expansion of a velocity with a bounded Dirichlet integral is obtained.
Reviewer: Georg V. Jaiani (Tbilisi)
MSC:
| 35Q30 | Navier-Stokes equations |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35C20 | Asymptotic expansions of solutions to PDEs |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
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