### Abstract

The results of Part I are extended to include linear spatially periodic problems-solutions of the initial value are shown to exist and decay like {Mathematical expression}. Then the full non-linear Boltzmann equation with a soft potential is solved for initial data close to equilibrium. The non-linearity is treated as a perturbation of the linear problem, and the equation is solved by iteration.

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

Pages (from-to) | 97-109 |

Number of pages | 13 |

Journal | Communications in Mathematical Physics |

Volume | 74 |

Issue number | 2 |

DOIs | |

State | Published - Jun 1980 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Communications in Mathematical Physics*,

*74*(2), 97-109. https://doi.org/10.1007/BF01197752

**The Boltzmann equation with a soft potential - II. Nonlinear, spatially-periodic.** / Caflisch, Russel.

Research output: Contribution to journal › Article

*Communications in Mathematical Physics*, vol. 74, no. 2, pp. 97-109. https://doi.org/10.1007/BF01197752

}

TY - JOUR

T1 - The Boltzmann equation with a soft potential - II. Nonlinear, spatially-periodic

AU - Caflisch, Russel

PY - 1980/6

Y1 - 1980/6

N2 - The results of Part I are extended to include linear spatially periodic problems-solutions of the initial value are shown to exist and decay like {Mathematical expression}. Then the full non-linear Boltzmann equation with a soft potential is solved for initial data close to equilibrium. The non-linearity is treated as a perturbation of the linear problem, and the equation is solved by iteration.

AB - The results of Part I are extended to include linear spatially periodic problems-solutions of the initial value are shown to exist and decay like {Mathematical expression}. Then the full non-linear Boltzmann equation with a soft potential is solved for initial data close to equilibrium. The non-linearity is treated as a perturbation of the linear problem, and the equation is solved by iteration.

UR - http://www.scopus.com/inward/record.url?scp=34250250637&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250250637&partnerID=8YFLogxK

U2 - 10.1007/BF01197752

DO - 10.1007/BF01197752

M3 - Article

AN - SCOPUS:34250250637

VL - 74

SP - 97

EP - 109

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -