The semigroup approach to transport processes in networks

Dorn, B; Fijavz , MK; Nagel, R; Radl, A

doi:10.1016/j.physd.2009.06.012

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The semigroup approach to transport processes in networks

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https://www.sciencedirect.com/science/article/pii/S0167278909001973
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Dorn, B., Fijavz, M., Nagel, R., & Radl, A. (2010). The semigroup approach to transport processes in networks. Physica D: Nonlinear Phenomena, 239(15), 1416-1421. doi:10.1016/j.physd.2009.06.012.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-C17C-B

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.