Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness

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dc.contributor.author Banasiak, Jacek
dc.contributor.author Bloch, Adam
dc.date.accessioned 2022-06-08T12:05:56Z
dc.date.available 2022-06-08T12:05:56Z
dc.date.issued 2022
dc.description The research was completed while the author was a Doctoral Candidate in the Interdisciplinary Doctoral School at the Lodz University of Technology, Poland. en_US
dc.description.abstract The paper is concerned with a system of linear hyperbolic differential equations on a network coupled through general transmission conditions of Kirchhoff's-type at the nodes. We discuss the reduction of such a problem to a system of 1-dimensional hyperbolic problems for the associated Riemann invariants and provide a semigroup-theoretic proof of its well-posedness. A number of examples showing the relation of our results with recent research is also provided. en_US
dc.description.department Mathematics and Applied Mathematics en_US
dc.description.librarian hj2022 en_US
dc.description.sponsorship The National Science Centre of Poland and the National Research Foundation of South Africa. en_US
dc.description.uri http://aimsciences.org/journals/home.jsp?journalID=25 en_US
dc.identifier.citation Jacek Banasiak, Adam Błoch. Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness. Evolution Equations and Control Theory, vol. 11, no. 4, pp. 1331-1355. doi: 10.3934/eect.2021046. en_US
dc.identifier.issn 2163-2480 (online)
dc.identifier.other 10.3934/eect.2021046
dc.identifier.uri https://repository.up.ac.za/handle/2263/85747
dc.language.iso en en_US
dc.publisher American Institute of Mathematical Sciences en_US
dc.rights American Institute of Mathematical Sciences en_US
dc.subject Hyperbolic systems en_US
dc.subject Networks en_US
dc.subject Semigroups of operators en_US
dc.subject Port-Hamiltonians en_US
dc.subject Saint-Venant system en_US
dc.subject Kirchhoff's conditions en_US
dc.title Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness en_US
dc.type Preprint Article en_US


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