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The semigroup approach to transport processes in networks

2010

Article

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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

Department(s): Empirical Inference
Bibtex Type: Article (article)

Digital: 0
DOI: 10.1016/j.physd.2009.06.012
Language: en
Organization: Max-Planck-Gesellschaft
School: Biologische Kybernetik

Links: Web

BibTex

@article{5791,
  title = {The semigroup approach to transport processes in networks},
  author = {Dorn, B. and Fijavz, MK. and Nagel, R. and Radl, A.},
  journal = {Physica D: Nonlinear Phenomena},
  volume = {239},
  number = {15},
  pages = {1416-1421},
  organization = {Max-Planck-Gesellschaft},
  school = {Biologische Kybernetik},
  month = jan,
  year = {2010},
  month_numeric = {1}
}