Fractional hydrodynamic equations for fractal media

  title={Fractional hydrodynamic equations for fractal media},
  author={Vasily E. Tarasov},
  journal={Annals of Physics},
  • V. E. Tarasov
  • Published 1 August 2005
  • Physics, Mathematics
  • Annals of Physics
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 Navier–Stokes and Euler equations are considered. We derive the equilibrium equation for fractal media. The sound waves in the continuous medium model for… 

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