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A priori bound on the velocity in axially symmetric Navier-Stokes equations - MaRDI portal

A priori bound on the velocity in axially symmetric Navier-Stokes equations (Q906915)

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A priori bound on the velocity in axially symmetric Navier-Stokes equations
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    A priori bound on the velocity in axially symmetric Navier-Stokes equations (English)
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    1 February 2016
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    In this paper, the authors proved that the velocity of Leray-Hopf solutions to the axially symmetric three-dimensional Navier-Stokes equations has an a priori bound that is proportional to the inverse square of the distance to the rotational axis, modulo a half logarithmic term, under suitable assumptions on initial data.
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    a priori bound
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    axially symmetric Navier-Stokes equations, Leray-Hopf solutions
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