Geodesic
Modeling turbulence with the Navier-Stokes equations
Wong, Bertrand 1
1 Department of Science and Technology, Eurotech, Singapore Branch
Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 2, p. 97-99.

Voir la notice de l'article provenant de la source International Scientific Research Publications

The Navier-Stokes differential equations describe the motion of fluids which are incompressible. The three-dimensional Navier-Stokes equations misbehave very badly although they are relatively simple-looking. The solutions could wind up being extremely unstable even with nice, smooth, reasonably harmless initial conditions. A mathematical understanding of the outrageous behavior of these equations would dramatically alter the field of fluid mechanics. This paper describes why the three-dimensional Navier-Stokes equations are not solvable, i.e., the equations cannot be used to model turbulence, which is a three-dimensional phenomenon.
DOI : 10.22436/jnsa.013.02.03
Classification : 76F02, 76F55
Keywords: Navier-Stokes equations, turbulence, forecast, geometries, solutions, experimentalist

Wong, Bertrand  1

1 Department of Science and Technology, Eurotech, Singapore Branch 
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Wong, Bertrand . Modeling turbulence with the Navier-Stokes equations. Journal of nonlinear sciences and its applications, Tome 13 (2020) no. 2, p. 97-99. doi : 10.22436/jnsa.013.02.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.013.02.03/

[1] Devaney, R. L. An introduction to chaotic dynamical systems, The Benjamin/Cummings Publishing Co., Menlo Park, 1986 | Zbl

[2] Gleick, J. Chaos: making a new science, Viking Press, New York, 1987 | Zbl

[3] Thompson, J. M. T.; Stewart, H. B. Nonlinear dynamics and chaos, John Wiley & Sons, Chichester, 1986

[4] Wong, B. The mathematical theory of turbulence or chaos, Int. J. Nonlinear Sci., Volume 10 (2010), pp. 264-278 | Zbl

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