Multidimensional advection and fractional dispersion.

  title={Multidimensional advection and fractional dispersion.},
  author={Mark M. Meerschaert and David A. Benson and Boris Baeumer},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  volume={59 5 Pt A},
Extension of the fractional diffusion equation to two or three dimensions is not as simple as extension of the second-order equation. This is revealed by the solutions of the equations: unlike the Gaussian, the most general stable vector cannot be generated with an atomistic measure on the coordinate axes. A random combination of maximally skewed stable variables on the unit sphere generates a stable vector that is a general model of a diffusing particle. Subsets are symmetric stable vectors… CONTINUE READING

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