THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Zhi-Jun Meng

,

Yao-Ming Zhou

,

Dong-Mu Mei

ON THREE-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES FLUID ON CANTOR SETS IN SPHERICAL CANTOR TYPE CO-ORDINATE SYSTEM

ABSTRACT
This paper addresses the systems of the incompressible Navier-Stokes equations on Cantor sets without the external force involving the fractal heat-conduction problem vial local fractional derivative. The spherical Cantor type co-ordinate method is used to transfer the incompressible Navier-Stokes equation from the Cantorian co-ordinate system into the spherical Cantor type co-ordinate system.
KEYWORDS
incompressible Navier-Stokes equation, heat-conduction problem, spherical Cantor type co-ordinate method, local fractional derivative
PAPER SUBMITTED: 2015-11-17
PAPER REVISED: 2016-02-11
PAPER ACCEPTED: 2016-02-25
PUBLISHED ONLINE: 2016-09-24
DOI REFERENCE: https://doi.org/10.2298/TSCI16S3853M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [S853 - S858]
REFERENCES
  1. ***, Fractional Dynamics (Eds. C. Cattani, H. M. Srivastava, X.-J. Yang), De Gruyter Open, Berlin, 2015, ISBN 978-3-11-029316-6
  2. Sun, X., et al., A New Computational Method for the One-Dimensional Diffusion Problem with the Diffusive Parameter Variable in Fractal Media, Thermal Science, 19 (2015), Suppl. 1, pp. S117-S122
  3. Yang, X. J., et al., A New Numerical Technique for Solving the Local Fractional Diffusion Equation: Two-Dimensional Extended Differential Transform Approach, Applied Mathematics and Computation, 274 (2016), 1, pp. 143-151
  4. Zhao, D., et al., Some Fractal Heat-Transfer Problems with Local Fractional Calculus, Thermal Science, 19 (2015), 5, pp. 1867-1871
  5. Yang, X. J., et al., Observing Diffusion Problems Defined on Cantor Sets in Different Co-ordinate Systems, Thermal Science, 19 (2015), Suppl. 1, pp. S151-S156
  6. Yang, X. J., et al., Local Fractional Similarity Solution for the Diffusion Equation Defined on Cantor Sets, Applied Mathematical Letters, 47 (2015), Sep. pp. 54-60
  7. Yang, X. J., et al., Cantor-Type Cylindrical-Co-ordinate Method for Differential Equations with Local Fractional Derivatives, Physics Letter A, 377 (2013), 28, pp. 1696-1700
  8. Yang, X. J., et al., Local Fractional Integral Transforms and Their Applications, Academic Press, New York, USA, 2015
  9. Yang, X. J., et al., Nonlinear Dynamics for Local Fractional Burgers' Equation Arising in Fractal Flow, Nonlinear Dyn., 84 (2015), 1, pp. 3-7
  10. Zhang, Y., et al., On a Local Fractional Wave Equation Under Fixed Entropy Arising in Fractal Hydrodynamics, Entropy, 16 (2014), 12, pp. 6254-6262
  11. Yang, X. J., et al., Systems of Navier-Stokes Equations on Cantor Sets, Mathematical Problem in Engineering, 2013 (2013), ID 769724
  12. Christianto, V., A Possible Route to Navier-Stokes Cosmology on Cantor Sets, Prespacetime Journal, 6 (2015), 8, pp. 800-804
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On three-dimensional incompressible Navier-Stokes fluid on cantor sets in spherical Cantor type co-ordinate system

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