48 citations · 192 across the 20 of their papers we have counts for
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Dirac structures in nonequilibrium thermodynamics for simple open systems
François Gay-Balmaz, Hiroaki Yoshimura
Dirac structures are geometric objects that generalize Poisson structures and presymplectic structures on manifolds. They naturally appear in the formulation of constrained mechani…
Dirac structures and port-Lagrangian systems in thermodynamics
Hiroaki Yoshimura, François Gay-Balmaz
In this paper, we introduce the notion of port-Lagrangian systems in nonequilibrium thermodynamics, which is constructed by generalizing the notion of port-Lagrangian systems for n…
From variational to bracket formulations in nonequilibrium thermodynamics of simple systems
François Gay-Balmaz, Hiroaki Yoshimura
A variational formulation for nonequilibrium thermodynamics was recently proposed in \cite{GBYo2017a,GBYo2017b} for both discrete and continuum systems. This formulation extends th…
From Lagrangian mechanics to nonequilibrium thermodynamics: a variational perspective
François Gay-Balmaz, Hiroaki Yoshimura
In this paper, we survey our recent results on the variational formulation of nonequilibrium thermodynamics for the finite dimensional case of discrete systems as well as for the i…