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On the asymptotic structure of a Navier-Stokes flow past a rotating body - MaRDI portal

On the asymptotic structure of a Navier-Stokes flow past a rotating body (Q2445035)

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On the asymptotic structure of a Navier-Stokes flow past a rotating body
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    On the asymptotic structure of a Navier-Stokes flow past a rotating body (English)
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    11 April 2014
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    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.
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    steady-state problem
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    Navier-Stokes system
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    asymptotic expansion
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