A note on the flow induced by a constantly accelerating edge in an Oldroyd-B fluid.
Fetecau, C., Prasad, Sharat C. (2005)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “A counterexample to the smoothness of the solution to an equation arising in fluid mechanics”
A note on the flow induced by a constantly accelerating edge in an Oldroyd-B fluid.
Complete solutions to extended Stokes' problems.
Liu, Chi-Min (2008)
Mathematical Problems in Engineering
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Axisymmetric flow of Navier-Stokes fluid in the whole space with non-zero angular velocity component
Jiří Neustupa, Milan Pokorný (2001)
Mathematica Bohemica
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We study axisymmetric solutions to the Navier-Stokes equations in the whole three-dimensional space. We find conditions on the radial and angular components of the velocity field which are sufficient for proving the regularity of weak solutions.
Derivation of the Reynolds equation for lubrication of a rotating shaft
Antonija Duvnjak, Eduard Marušić-Paloka (2000)
Archivum Mathematicum
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In this paper, using the asymptotic expansion, we prove that the Reynolds lubrication equation is an approximation of the full Navier–Stokes equations in thin gap between two coaxial cylinders in relative motion. Boundary layer correctors are computed. The error estimate in terms of domain thickness for the asymptotic expansion is given. The corrector for classical Reynolds approximation is computed.