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The asymptotic behavior of the vorticity far away from a body in a plane flow of viscous fluid. (English. Russian original) Zbl 0234.76026
J. Appl. Math. Mech. 34, 869-881 (1970); translation from Prikl. Mat. Mekh. 34, 911-925 (1970).

MSC:
76M35 Stochastic analysis applied to problems in fluid mechanics
76D33 Waves for incompressible viscous fluids
76B47 Vortex flows for incompressible inviscid fluids
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References:
[1] Filon, L.N.G., The forces on a cylinder in a stream of viscous fluid, (), 7-27 · JFM 52.0867.01
[2] Filon, L.N.G., On the second approximation to the Oseen solution for the motion of a viscous fluid, Philos. trans. roy. soc., London, Vol. 227 A, 93-135, (1928) · JFM 54.0908.01
[3] Goldstein, S., On the two-dimensional study of flow of a viscous fluid behind a solid body, I, (), 545-562 · JFM 59.1459.01
[4] Goldstein, S., On the two-dimensional study of flow of a viscous fluid behind a solid body, II, (), 563-573 · JFM 59.1459.02
[5] Imai, I., On the asymptotic behavior of viscous fluid flow at a great distance from a cylindrical body, with special reference to Filon’s paradox, (), 487-516, N≗1095 · Zbl 0043.19007
[6] Smith, D.R., Estimates at infinity for stationary solutions of the Navier-Stokes equations in two dimensions, Arch. rat. mech. and anal., Vol. 20, N≗5, (1965) · Zbl 0149.44701
[7] Finn, R.; Smith, D.R., On the linearized hydrodynamical equations in two dimensions, Arch. rat. mech. and anal., Vol. 25, N≗1, 1-25, (1967) · Zbl 0152.45001
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