Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness
| dc.contributor.author | Banasiak, Jacek | |
| dc.contributor.author | Bloch, Adam | |
| dc.contributor.email | jacek.banasiak@up.ac.za | en_US |
| 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 |