Analysis of District Heating Networks
- In the context of district heating networks we consider a model for the distribution of energy through water (for heating or cooling) from a central power station to the consumers. We prove the well posedness of the system, by using the Banach Fixed Point Theorem together with stability estimates for reduced systems. Eventually we consider optimal control problems motivated by applications and we provide the existence of optimal controls in special situations.
| Author: | R. Borsche, M. Eimer, Mauro GaravelloORCiD, Elena RossiORCiD |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-89143 |
| DOI: | https://doi.org/10.1007/s00245-022-09952-2 |
| ISSN: | 1432-0606 |
| Parent Title (English): | Applied Mathematics & Optimization |
| Publisher: | Springer Nature |
| Editor: | Irena Lasiecka, Nizar Touzi |
| Document Type: | Article |
| Language of publication: | English |
| Date of Publication (online): | 2025/04/08 |
| Year of first Publication: | 2023 |
| Publishing Institution: | Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau |
| Date of the Publication (Server): | 2025/04/23 |
| Issue: | (2023) Vol.87 |
| Page Number: | 36 |
| Source: | https://link.springer.com/article/10.1007/s00245-022-09952-2 |
| Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| Collections: | Open-Access-Publikationsfonds |
| Licence (German): |  Creative Commons 4.0 - Namensnennung (CC BY 4.0) |