Spectral decomposition of 3D Fokker - Planck differential operator
Chaotic Dynamics
2007-09-17 v4
Abstract
We construct spectral decomposition of 3D Fokker - Planck differential operator in this paper. We use the decomposition to obtain solution of Cauchy problem - and especially the fundamental solution. Then we use the decomposition to calculate macroscopic parameters of Fokker - Planck flow.
Keywords
Cite
@article{arxiv.nlin/0607050,
title = {Spectral decomposition of 3D Fokker - Planck differential operator},
author = {Igor A. Tanski},
journal= {arXiv preprint arXiv:nlin/0607050},
year = {2007}
}
Comments
We correct expressions (48-54), (57-58), (71-73) - we replace $n sub j$ with $p sub j$ and ${omega sub j} over {a sub j}$ with $omega sub j$. Removed $a sub 1, a sub 2, a sub 3$ multiplier in (48-54) and (A4). We add APPENDIX with formulae for the case of unbounded space. Added reference to P. Resibois and M. De Leener work