Multidimensional advection and fractional dispersion.

@article{Meerschaert1999MultidimensionalAA,
  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},
  year={1999},
  volume={59 5 Pt A},
  pages={5026-8}
}
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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Showing 1-10 of 14 references

A

  • S. Samko
  • Kilbas and O. Marichev Fractional Integrals and…
  • 1993
Highly Influential
5 Excerpts

in review

  • D. Benson, S. Wheatcraft, M. Meerschaert
  • Water Resour. Res.
  • 1998
Highly Influential
5 Excerpts

Phys

  • A. S. Chaves
  • Lett. A 239, 13
  • 1998

et

  • E. Weeks
  • al. in L evy Flights and Related Topics in…
  • 1995
1 Excerpt

Physica D 76

  • G. M. Zaslavsky
  • 110
  • 1994
2 Excerpts

Simulation and Chaotic Behavior of Stable Stochastic Pro- cesses (Marcel

  • A. Janicki, A. Weron
  • 1994

Water Resour

  • E. Adams, L. Gelhar
  • Res. 28 , 3293
  • 1992

Extreme values

  • S. Resnick
  • regular variation, and point processes
  • 1987

19

  • M. Meerschaert, J. Multivariate Anal
  • 342
  • 1986

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