Xuan Li, Genqi Xu, Yingfeng Shang, "Modeling of a Transport Network and its Spectral Analysis," WSEAS Transactions on Mathematics, vol. 15, pp. 535-549, 2016, DOI:
Xuan Li, Genqi Xu, Yingfeng Shang. Modeling of a Transport Network and its Spectral Analysis.
WSEAS Transactions on Mathematics. 2016;15:535-549.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 15, 2016
Modeling of a Transport Network and its Spectral Analysis
Authors: , ,
Abstract: In the present paper, we study a regular triangle bi-directed transport network by the approach of the operator semigroup theory and linear operator spectral theory. First we established a model of the partial differential equations for the transport problem. And then we prove the well-posedness of the network system. By the detailed spectral analysis of the system operator, we prove that the spectrum of the system operator is composed of isolated eigenvalue of finite multiplicity, all root vectors are incomplete in the state space. Finally, we discuss some operation strategies for the transport networks based on the spectral distribution.
Pages: 535-549 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 15, 2016, Art. #51 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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