Systems of Navier-Stokes equations on cantor sets

Yang, Xiao-Jun; Baleanu, Dumitru; Machado, J. A. Tenreiro

http://hdl.handle.net/10400.22/3455

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Authors

Yang, Xiao-Jun

Baleanu, Dumitru

Machado, J. A. Tenreiro

Abstract(s)

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.