48 citations · 192 across the 20 of their papers we have counts for
21 papers
Systems, variational principles and interconnections in nonequilibrium thermodynamics
François Gay-Balmaz, Hiroaki Yoshimura
The paper investigates a systematic approach to modeling in nonequilibrium thermodynamics by focusing upon the notion of interconnections, where we propose a novel Lagrangian varia…
Non-isothermal diffusion in interconnected discrete-distributed systems: a variational approach
François Gay-Balmaz, Hiroaki Yoshimura
Motivated by compartmental analysis in engineering and biophysical systems, we present a variational framework for the nonequilibrium thermodynamics of systems involving both distr…
Hamiltonian variational formulation for nonequilibrium thermodynamics of simple closed systems
Hiroaki Yoshimura, François Gay-Balmaz
In this paper, we develop a Hamiltonian variational formulation for the nonequilibrium thermodynamics of simple adiabatically closed systems that is an extension of Hamilton's phas…
Resonance, symmetry, and bifurcation of periodic orbits in perturbed Rayleigh-Bénard convection
Masahito Watanabe, Hiroaki Yoshimura
This paper investigates the global structures of periodic orbits that appear in Rayleigh-Bénard convection, which is modeled by a two-dimensional perturbed Hamiltonian model, by fo…
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…