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.

Borsche, R., Eimer, M., Garavello, M., Rossi, E. (2023). Analysis of District Heating Networks. APPLIED MATHEMATICS AND OPTIMIZATION, 87(3 (June 2023)) [10.1007/s00245-022-09952-2].

Analysis of District Heating Networks

Garavello M.;Rossi E.
2023

Abstract

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.
Articolo in rivista - Articolo scientifico
Control problems; District heating networks; Mixed ODE–PDE system;
English
13-mar-2023
2023
87
3 (June 2023)
38
open
Borsche, R., Eimer, M., Garavello, M., Rossi, E. (2023). Analysis of District Heating Networks. APPLIED MATHEMATICS AND OPTIMIZATION, 87(3 (June 2023)) [10.1007/s00245-022-09952-2].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/406516
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