三维Fokker-Planck微分算子的谱分解
混沌动力学
2007-09-17 v4
摘要
在本文中，我们构造了三维Fokker-Planck微分算子的谱分解。我们利用该分解获得Cauchy问题的解——特别是基本解。然后我们使用该分解来计算Fokker-Planck流的宏观参数。
引用
@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}
}
备注
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