Systems of Navier-Stokes Equations on Cantor Sets-Reference-Cited by-同舟云学术

Systems of Navier-Stokes Equations on Cantor Sets

Published:2013 Issue: Volume:2013 Page:1-8
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Yang Xiao-Jun¹,Baleanu Dumitru²³⁴,Tenreiro Machado J. A.⁵

Affiliation:

1. Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou Campus, Xuzhou, Jiangsu 221008, China

2. Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey

3. Institute of Space Sciences, Magurele, Bucharest, Romania

4. Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia

5. Department of Electrical Engineering, Institute of Engineering, Polytechnic of Porto, Rua Dr. Antonio Bernardino de Almeida, 431, 4200-072 Porto, Portugal

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.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2013/769724.pdf

Reference39 articles.

1. Navier-Stokes Equations and Turbulence

2. An Introduction to the Mathematical Theory of the Navier-Stokes Equations

3. A model for rapid stochastic distortions of small-scale turbulence

4. Imprint of Large-Scale Flows on Turbulence

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