Asymptotic behaviour of flows on reducible networks

DOI10.3934/nhm.2014.9.197zbMath1304.35723OpenAlexW2065447315WikidataQ70721853 ScholiaQ70721853MaRDI QIDQ480064

Jacek Banasiak, Proscovia Namayanja

Publication date: 8 December 2014

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2014.9.197

zbMATH Keywords

networkstransport equationssemigroups of operatorsresolvent positive operatorsasymptotic periodicitydiagraphtopological sorting algorithm

Mathematics Subject Classification ID

Applications of graph theory (05C90) One-parameter semigroups and linear evolution equations (47D06) Transport processes in time-dependent statistical mechanics (82C70) PDEs on graphs and networks (ramified or polygonal spaces) (35R02) Boundary value problems for systems of linear first-order PDEs (35F45)

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Explicit formulae for limit periodic flows on networks, Flows on metric graphs with general boundary conditions, Telegraph systems on networks and port-Hamiltonians. II: Network realizability, On the asymptotic behaviour of semigroups for flows in infinite networks, Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness, Generalized network transport and Euler-Hille formula, Kinetic Models in Natural Sciences, Well-posedness and stability of a class of linear systems, Semigroup approach to diffusion and transport problems on networks, Chaotic dynamics in a transport equation on a network, Transport on Networks—A Playground of Continuous and Discrete Mathematics in Population Dynamics, Dynamic transmission conditions for linear hyperbolic systems on networks, Bi-continuous semigroups for flows on infinite networks, Well-posedness and approximate controllability of neutral network systems, Telegraph systems on networks and port-Hamiltonians. III: Explicit representation and long-term behaviour, Some transport and diffusion processes on networks and their graph realizability

Cites Work

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• Relative entropy and discrete Poincaré inequalities for reducible matrices
• Flows in networks with dynamic ramification nodes
• Asymptotic periodicity of recurrent flows in infinite networks
• The semigroup approach to transport processes in networks
• One-parameter semigroups of positive operators
• Continuous-time Markov chains. An applications-oriented approach
• Spectral properties and asymptotic periodicity of flows in networks
• Modeling and analysis of modal switching in networked transport systems
• Semigroups for flows in infinite networks
• Non-negative matrices and Markov chains.
• Birth-and-death type systems with parameter and chaotic dynamics of some linear kinetic models
• One-Parameter Semigroups for Linear Evolution Equations
• Resolvent Positive Operators
• Asymptotic behavior of flows in networks
• Digraphs