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On some properties of the Navier–Stokes system of equations

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Abstract

We discuss the initial and boundary value problems for the system of dimensionless Navier–Stokes equations describing the dynamics of a viscous incompressible fluid using the method of characteristics and the geometric method developed by the authors. Some properties of the formulation of these problems are considered. We study the effect of the Reynolds number on the flow of a viscous fluid near the surface of a body.

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620990, Russia

    L. I. Rubina & O. N. Ul’yanov

  2. Ural Federal University, Yekaterinburg, 620002, Russia

    O. N. Ul’yanov

Authors
  1. L. I. Rubina
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  2. O. N. Ul’yanov
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Correspondence to L. I. Rubina.

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Original Russian Text © L.I. Rubina, O.N. Ul’yanov, 2016, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Vol. 22, No. 1.

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Rubina, L.I., Ul’yanov, O.N. On some properties of the Navier–Stokes system of equations. Proc. Steklov Inst. Math. 297 (Suppl 1), 163–174 (2017). https://doi.org/10.1134/S0081543817050170

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