Fractional hydrodynamic equations for fractal media
Abstract
We use the fractional integrals in order to describe dynamical processes in the fractal medium. 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 NavierStokes 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.
 Publication:

Annals of Physics
 Pub Date:
 August 2005
 DOI:
 10.1016/j.aop.2005.01.004
 arXiv:
 arXiv:physics/0602096
 Bibcode:
 2005AnPhy.318..286T
 Keywords:

 03.40.Gc;
 47.10.+g;
 47.53.+n;
 Fractals in fluid dynamics;
 Physics  Fluid Dynamics;
 Astrophysics;
 Condensed Matter  Materials Science;
 Mathematical Physics;
 Mathematics  Mathematical Physics;
 Nonlinear Sciences  Chaotic Dynamics
 EPrint:
 19 pages