On some properties of the Navier–Stokes system of equations

On some properties of the Navier–Stokes system of equations

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 prob...

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Veröffentlicht in:Proceedings of the Steklov Institute of Mathematics 2017-07, Vol.297 (Suppl 1), p.163-174
Hauptverfasser: Rubina, L. I., Ul’yanov, O. N.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Computational fluid dynamics
Fluid flow
Incompressible flow
Mathematical analysis
Mathematics
Mathematics and Statistics
Method of characteristics
Navier-Stokes equations
Reynolds number
Viscosity
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Zusammenfassung: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.
ISSN:0081-5438
1531-8605
DOI:10.1134/S0081543817050170