A variational formulation for fluid dynamics with irreversible processes

François Gay-Balmaz; Hiroaki Yoshimura

doi:10.1007/978-3-319-68445-1_47

A variational formulation for fluid dynamics with irreversible processes

François Gay-Balmaz
, Hiroaki Yoshimura

School of Science and Engineering
Waseda University

Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Contribution à une conférence › Revue par des pairs

Résumé

In this paper, we present a variational formulation for heat conducting viscous fluids, which extends the Hamilton principle of continuum mechanics to include irreversible processes. This formulation follows from the general variational description of nonequilibrium thermodynamics introduced in [3, 4] for discrete and continuum systems. It relies on the concept of thermodynamic displacement. The irreversibility is encoded into a nonlinear nonholonomic constraint given by the expression of the entropy production associated to the irreversible processes involved.

langue originale	Anglais
titre	Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings
rédacteurs en chef	Frank Nielsen, Frederic Barbaresco, Frank Nielsen
Editeur	Springer Verlag
Pages	401-409
Nombre de pages	9
ISBN (imprimé)	9783319684444
Les DOIs	https://doi.org/10.1007/978-3-319-68445-1_47
état	Publié - 1 janv. 2017
Evénement	3rd International Conference on Geometric Science of Information, GSI 2017 - Paris, France Durée: 7 nov. 2017 → 9 nov. 2017

Série de publications

Nom	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	10589 LNCS
ISSN (imprimé)	0302-9743
ISSN (Electronique)	1611-3349

Une conférence

Une conférence	3rd International Conference on Geometric Science of Information, GSI 2017
Pays/Territoire	France
La ville	Paris
période	7/11/17 → 9/11/17

Accès au document

10.1007/978-3-319-68445-1_47

Contient cette citation

Gay-Balmaz, F., & Yoshimura, H. (2017). A variational formulation for fluid dynamics with irreversible processes. Dans F. Nielsen, F. Barbaresco, & F. Nielsen (eds.), Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings (p. 401-409). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol 10589 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-319-68445-1_47

Gay-Balmaz, François ; Yoshimura, Hiroaki. / A variational formulation for fluid dynamics with irreversible processes. Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings. Editeur / Frank Nielsen ; Frederic Barbaresco ; Frank Nielsen. Springer Verlag, 2017. p. 401-409 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "A variational formulation for fluid dynamics with irreversible processes",

abstract = "In this paper, we present a variational formulation for heat conducting viscous fluids, which extends the Hamilton principle of continuum mechanics to include irreversible processes. This formulation follows from the general variational description of nonequilibrium thermodynamics introduced in [3, 4] for discrete and continuum systems. It relies on the concept of thermodynamic displacement. The irreversibility is encoded into a nonlinear nonholonomic constraint given by the expression of the entropy production associated to the irreversible processes involved.",

keywords = "Heat conduction, Nonequilibrium thermodynamics, Variational formalism, Viscosity",

author = "Fran{\c c}ois Gay-Balmaz and Hiroaki Yoshimura",

note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.; 3rd International Conference on Geometric Science of Information, GSI 2017 ; Conference date: 07-11-2017 Through 09-11-2017",

year = "2017",

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doi = "10.1007/978-3-319-68445-1\_47",

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Gay-Balmaz, F & Yoshimura, H 2017, A variational formulation for fluid dynamics with irreversible processes. Dans F Nielsen, F Barbaresco & F Nielsen (eds), Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), VOL. 10589 LNCS, Springer Verlag, p. 401-409, 3rd International Conference on Geometric Science of Information, GSI 2017, Paris, France, 7/11/17. https://doi.org/10.1007/978-3-319-68445-1_47

A variational formulation for fluid dynamics with irreversible processes. / Gay-Balmaz, François; Yoshimura, Hiroaki.
Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings. Ed. / Frank Nielsen; Frederic Barbaresco; Frank Nielsen. Springer Verlag, 2017. p. 401-409 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol 10589 LNCS).

Résultats de recherche: Le chapitre dans un livre, un rapport, une anthologie ou une collection › Contribution à une conférence › Revue par des pairs

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T1 - A variational formulation for fluid dynamics with irreversible processes

AU - Gay-Balmaz, François

AU - Yoshimura, Hiroaki

PY - 2017/1/1

Y1 - 2017/1/1

N2 - In this paper, we present a variational formulation for heat conducting viscous fluids, which extends the Hamilton principle of continuum mechanics to include irreversible processes. This formulation follows from the general variational description of nonequilibrium thermodynamics introduced in [3, 4] for discrete and continuum systems. It relies on the concept of thermodynamic displacement. The irreversibility is encoded into a nonlinear nonholonomic constraint given by the expression of the entropy production associated to the irreversible processes involved.

AB - In this paper, we present a variational formulation for heat conducting viscous fluids, which extends the Hamilton principle of continuum mechanics to include irreversible processes. This formulation follows from the general variational description of nonequilibrium thermodynamics introduced in [3, 4] for discrete and continuum systems. It relies on the concept of thermodynamic displacement. The irreversibility is encoded into a nonlinear nonholonomic constraint given by the expression of the entropy production associated to the irreversible processes involved.

KW - Heat conduction

KW - Nonequilibrium thermodynamics

KW - Variational formalism

KW - Viscosity

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DO - 10.1007/978-3-319-68445-1_47

M3 - Conference contribution

AN - SCOPUS:85033718710

SN - 9783319684444

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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BT - Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings

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A2 - Barbaresco, Frederic

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Gay-Balmaz F, Yoshimura H. A variational formulation for fluid dynamics with irreversible processes. Dans Nielsen F, Barbaresco F, Nielsen F, rédacteurs en chef, Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings. Springer Verlag. 2017. p. 401-409. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-68445-1_47

A variational formulation for fluid dynamics with irreversible processes

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