Conduction-Diffusion in N-Dimensional settings as irreversible port-Hamiltonian systems
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910049696219136 |
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| author | Mora, Luis Gorrec, Yann Le Ramirez, Hector Matignon, Denis |
| author_facet | Mora, Luis Gorrec, Yann Le Ramirez, Hector Matignon, Denis |
| contents | This work extends previous 1D irreversible port-Hamiltonian system (IPHS) formulations to boundary-controlled ND distributed parameter systems describing conduction-diffusion fluid phenomena. Within a unified and thermodynamically consistent framework, we show that conduction and diffusion can be represented through a single coherent structure that preserves global energy balance and ensures a correct characterization of entropy production. The resulting formulation provides a foundation for the systematic modeling and control of complex multi-physical processes governed by coupled transport mechanisms in N dimensions. In the longer term, this framework opens the door to structure-preserving numerical schemes capable of enforcing thermodynamic principles directly at the discretized level. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_11265 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Conduction-Diffusion in N-Dimensional settings as irreversible port-Hamiltonian systems Mora, Luis Gorrec, Yann Le Ramirez, Hector Matignon, Denis Systems and Control This work extends previous 1D irreversible port-Hamiltonian system (IPHS) formulations to boundary-controlled ND distributed parameter systems describing conduction-diffusion fluid phenomena. Within a unified and thermodynamically consistent framework, we show that conduction and diffusion can be represented through a single coherent structure that preserves global energy balance and ensures a correct characterization of entropy production. The resulting formulation provides a foundation for the systematic modeling and control of complex multi-physical processes governed by coupled transport mechanisms in N dimensions. In the longer term, this framework opens the door to structure-preserving numerical schemes capable of enforcing thermodynamic principles directly at the discretized level. |
| title | Conduction-Diffusion in N-Dimensional settings as irreversible port-Hamiltonian systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2603.11265 |