On the Mathematical Theory of Turbulence and Its Relation to Chaos and Fractals
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Authors
Bertrand Wong
- Eurotech, Spore Branch
Abstract
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 behaviour of these equations would dramatically alter the field of fluid mechanics. The Orr-Sommerfeld equation is also described. In this paper the author adopts a reasoned, practical approach towards resolving the issue and proposes a practical, statistical kind of mathematical solution.
Share and Cite
ISRP Style
Bertrand Wong, On the Mathematical Theory of Turbulence and Its Relation to Chaos and Fractals, Journal of Mathematics and Computer Science, 1 (2010), no. 3, 187--215
AMA Style
Wong Bertrand, On the Mathematical Theory of Turbulence and Its Relation to Chaos and Fractals. J Math Comput SCI-JM. (2010); 1(3):187--215
Chicago/Turabian Style
Wong, Bertrand. " On the Mathematical Theory of Turbulence and Its Relation to Chaos and Fractals." Journal of Mathematics and Computer Science, 1, no. 3 (2010): 187--215
Keywords
- unpredictable
- probability
- estimate
MSC
- 37D45
- 76F02
- 76F20
- 76F99
- 97K50
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