|
|||||
|
|
The semigroup approach to transport processes in networks |
|
| Authors: | B Dorn R Nagel A Radl |
| Institution: | a Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany b University of Ljubljana, Faculty of Civil and Geodetic Engineering, Jamova 2, SI-1000 Ljubljana, Slovenia c Institute of Mathematics, Physics, and Mechanics, Jadranska 19, SI-1000 Ljubljana, Slovenia |
| 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. |
| Keywords: | Semigroups Transport equation Networks Asymptotic periodicity |
| 本文献已被 ScienceDirect 等数据库收录！ | |