We explain how operator semigroups can be used to study transport processes in networks. This method is applied to a linear Boltzmann equation on a finite as well as on an infinite network and yields well-posedness and information on the long term behavior of the solutions to the presented problems.
| Author(s): | Dorn, B. and Fijavz, MK. and Nagel, R. and Radl, A. |
| Journal: | Physica D: Nonlinear Phenomena |
| Volume: | 239 |
| Number (issue): | 15 |
| Pages: | 1416-1421 |
| Year: | 2010 |
| Month: | January |
| Day: | 0 |
| Bibtex Type: | Article (article) |
| DOI: | 10.1016/j.physd.2009.06.012 |
| Digital: | 0 |
| Electronic Archiving: | grant_archive |
| Language: | en |
| Organization: | Max-Planck-Gesellschaft |
| School: | Biologische Kybernetik |
| Links: | |
BibTex
@article{5791,
title = {The semigroup approach to transport processes in networks},
journal = {Physica D: Nonlinear Phenomena},
abstract = {We explain how operator semigroups can be used to study transport processes in networks. This method is applied to a linear Boltzmann equation on a finite as well as on an infinite network and yields well-posedness and information on the long term behavior of the solutions to the presented problems.},
volume = {239},
number = {15},
pages = {1416-1421},
organization = {Max-Planck-Gesellschaft},
school = {Biologische Kybernetik},
month = jan,
year = {2010},
slug = {5791},
author = {Dorn, B. and Fijavz, MK. and Nagel, R. and Radl, A.},
month_numeric = {1}
}