Fractional Hydrodynamic Equations for Fractal Media
arXiv:physics/0602096 · doi:10.1016/j.aop.2005.01.004
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.
19 pages
Cited by in corpus (5)
- Fractional Variations for Dynamical Systems: Hamilton and Lagrange Approaches
- Conservation Laws and Hamilton's Equations for Systems with Long-Range Interaction and Memory
- Possible Experimental Test of Continuous Medium Model for Fractal Media
- Psi-Series Solution of Fractional Ginzburg-Landau Equation
- Transport Equations from Liouville Equations for Fractional Systems