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.
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