### Abstract

The generalized function solution of Kramers' equation describing Brownian motion is shown to be valid in type S function spaces of entire functions for at least a finite time. The method also has been applied to the Fokker-Planck equation describing the motion of charged particles undergoing scattering without energy loss. The theoretical results obtained in this paper are expected to guide that development.

Original language | English (US) |
---|---|

Pages (from-to) | 69-83 |

Number of pages | 15 |

Journal | Transport Theory and Statistical Physics |

Volume | 13 |

Issue number | 1-2 |

State | Published - 1983 |

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### ASJC Scopus subject areas

- Applied Mathematics
- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

**CONVERGENCE OF THE GENERALIZED FUNCTION SOLUTION OF KRAMERS' EQUATION FOR BROWNIAN MOTION.** / Ganapol, Barry D.

Research output: Contribution to journal › Article

*Transport Theory and Statistical Physics*, vol. 13, no. 1-2, pp. 69-83.

}

TY - JOUR

T1 - CONVERGENCE OF THE GENERALIZED FUNCTION SOLUTION OF KRAMERS' EQUATION FOR BROWNIAN MOTION.

AU - Ganapol, Barry D

PY - 1983

Y1 - 1983

N2 - The generalized function solution of Kramers' equation describing Brownian motion is shown to be valid in type S function spaces of entire functions for at least a finite time. The method also has been applied to the Fokker-Planck equation describing the motion of charged particles undergoing scattering without energy loss. The theoretical results obtained in this paper are expected to guide that development.

AB - The generalized function solution of Kramers' equation describing Brownian motion is shown to be valid in type S function spaces of entire functions for at least a finite time. The method also has been applied to the Fokker-Planck equation describing the motion of charged particles undergoing scattering without energy loss. The theoretical results obtained in this paper are expected to guide that development.

UR - http://www.scopus.com/inward/record.url?scp=0020922893&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0020922893&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0020922893

VL - 13

SP - 69

EP - 83

JO - Journal of Computational and Theoretical Transport

JF - Journal of Computational and Theoretical Transport

SN - 2332-4309

IS - 1-2

ER -