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The semigroup approach to transport processes in networks
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.
@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} }