48 citations · 192 across the 20 of their papers we have counts for
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math-ph2017★ 2 cited
A free energy Lagrangian variational formulation of the Navier-Stokes-Fourier system
François Gay-Balmaz, Hiroaki Yoshimura
We present a variational formulation for the Navier-Stokes-Fourier system based on a free energy Lagrangian. This formulation is a systematic infinite dimensional extension of the…
math-ph2017★ 20 cited
Dirac structures in nonequilibrium thermodynamics
François Gay-Balmaz, Hiroaki Yoshimura
Dirac structures are geometric objects that generalize both Poisson structures and presymplectic structures on manifolds. They naturally appear in the formulation of constrained me…
math.NA2017★ 16 cited
Variational discretization of the nonequilibrium thermodynamics of simple systems
François Gay-Balmaz, H. Yoshimura
In this paper, we develop variational integrators for the nonequilibrium thermodynamics of simple closed systems. These integrators are obtained by a discretization of the Lagrangi…