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Fractional Hydrodynamic Equations for Fractal Media

Fluid Dynamics 2009-11-11 v1 Astrophysics Materials Science Mathematical Physics math.MP Chaotic Dynamics

Abstract

We use the fractional integrals in order to describe dynamical processes in the fractal media. We consider the "fractional" continuous medium model for the fractal media and derive the fractional generalization of the equations of balance of mass density, momentum density, and internal energy. The fractional generalization of Navier-Stokes and Euler equations are considered. We derive the equilibrium equation for fractal media. The sound waves in the continuous medium model for fractional media are considered.

Keywords

Cite

@article{arxiv.physics/0602096,
  title  = {Fractional Hydrodynamic Equations for Fractal Media},
  author = {Vasily E. Tarasov},
  journal= {arXiv preprint arXiv:physics/0602096},
  year   = {2009}
}

Comments

19 pages

R2 v1 2026-07-22T19:08:55.297Z