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      Systems of Navier-Stokes Equations on Cantor Sets

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      Mathematical Problems in Engineering
      Hindawi Limited

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          Abstract

          We present systems of Navier-Stokes equations on Cantor sets, which are described by the local fractional vector calculus. It is shown that the results for Navier-Stokes equations in a fractal bounded domain are efficient and accurate for describing fluid flow in fractal media.

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          Most cited references29

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          Universal scaling laws in fully developed turbulence

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            Extended self-similarity in turbulent flows

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              Scale-Invariance and Turbulence Models for Large-Eddy Simulation

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                Author and article information

                Journal
                Mathematical Problems in Engineering
                Mathematical Problems in Engineering
                Hindawi Limited
                1024-123X
                1563-5147
                2013
                2013
                : 2013
                :
                : 1-8
                Article
                10.1155/2013/769724
                0af310af-33e0-451b-b4f5-898ca0f91b52
                © 2013

                http://creativecommons.org/licenses/by/3.0/

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