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  The semigroup approach to transport processes in networks

Dorn, B., Fijavz MK, 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.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-C17C-B Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-C17D-9
Genre: Journal Article

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Dorn, B, Author
Fijavz MK, Nagel, R, Author
Radl, A1, Author           
Affiliations:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              

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 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.

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 Dates: 2010-01
 Publication Status: Issued
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 Identifiers: URI: http://www.sciencedirect.com/science?_ob=MImgamp;amp;_imagekey=B6TVK-4WK4867-4-C1amp;amp;_cdi=5537amp;amp;_user=29041amp;amp;_pii=S0167278909001973amp;amp;_orig=searchamp;amp;_coverDate=062F212F2009amp;amp;_sk=99999999
DOI: 10.1016/j.physd.2009.06.012
BibTex Citekey: 5791
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Title: Physica D: Nonlinear Phenomena
Source Genre: Journal
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Pages: - Volume / Issue: 239 (15) Sequence Number: - Start / End Page: 1416 - 1421 Identifier: -