Fractional Hydrodynamic Equations for Fractal Media

Details Fractional Hydrodynamic Equations for Fractal Media Fractional Hydrodynamic Equations for Fractal Media

2006-02-14

arxiv.org/abs/physics/0602096v1

Annals of Physics 318 (2005) 286-307

Physics

Fluid Dynamics

19 pages

Scientific paper

10.1016/j.aop.2005.01.004

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.

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