A port-Hamiltonian formulation of coupled heat transfer

DOI10.1080/13873954.2022.2038637zbMath1491.80004OpenAlexW4214729632WikidataQ114098834 ScholiaQ114098834MaRDI QIDQ5071998

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Publication date: 25 April 2022

Published in: Mathematical and Computer Modelling of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/13873954.2022.2038637

zbMATH Keywords

well-posednessheat transfercoupled systemcooling channelgas turbine bladePort-Hamiltonian system

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Diffusive and convective heat and mass transfer, heat flow (80A19) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06) Transport equations (35Q49)

Related Items (2)

Discrete Port-Hamiltonian Coupled Heat Transfer ⋮ Mixed-dimensional geometric coupling of port-Hamiltonian systems

Cites Work

• Unnamed Item
• Linear port-Hamiltonian systems on infinite-dimensional spaces.
• Hamiltonian formulation of distributed-parameter systems with boundary energy flow
• GivEn -- shape optimization for gas turbines in volatile energy networks
• Memristive port-Hamiltonian Systems
• Dirac structures and Boundary Control Systems associated with Skew-Symmetric Differential Operators
• Distributed port-Hamiltonian modelling for irreversible processes
• An operator theoretic approach to infinite‐dimensional control systems

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