TY - GEN
T1 - A variational formulation for fluid dynamics with irreversible processes
AU - Gay-Balmaz, François
AU - Yoshimura, Hiroaki
N1 - Funding Information:
Acknowledgements. F.G.B. is partially supported by the ANR project GEOM-
Funding Information:
FLUID, ANR-14-CE23-0002-01; H.Y. is partially supported by JSPS Grant-in-Aid for Scientific Research (26400408, 16KT0024, 24224004), Waseda University (SR2017K-167), and the MEXT “Top Global University Project”.
Publisher Copyright:
© 2017, Springer International Publishing AG.
PY - 2017
Y1 - 2017
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
UR - http://www.scopus.com/inward/record.url?scp=85033718710&partnerID=8YFLogxK
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U2 - 10.1007/978-3-319-68445-1_47
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)
SP - 401
EP - 409
BT - Geometric Science of Information - 3rd International Conference, GSI 2017, Proceedings
A2 - Nielsen, Frank
A2 - Barbaresco, Frederic
A2 - Nielsen, Frank
PB - Springer Verlag
T2 - 3rd International Conference on Geometric Science of Information, GSI 2017
Y2 - 7 November 2017 through 9 November 2017
ER -