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Yoshimura Hiroaki
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Dirac structures in Lagrangian mechanics part I: implicit Lagrangian systems
H Yoshimura, JE Marsden
Journal of Geometry and Physics 57 (1), 133-156, 2006
1902006
Dirac structures in Lagrangian mechanics Part II: Variational structures
H Yoshimura, JE Marsden
Journal of Geometry and Physics 57 (1), 209-250, 2006
1662006
A Lagrangian variational formulation for nonequilibrium thermodynamics. Part I: discrete systems
F Gay-Balmaz, H Yoshimura
Journal of Geometry and Physics 111, 169-193, 2017
742017
A Lagrangian variational formulation for nonequilibrium thermodynamics. Part II: continuum systems
F Gay-Balmaz, H Yoshimura
Journal of Geometry and Physics 111, 194-212, 2017
672017
From Lagrangian mechanics to nonequilibrium thermodynamics: a variational perspective
F Gay-Balmaz, H Yoshimura
Entropy 21 (1), 8, 2018
462018
Reduction of Dirac structures and the Hamilton-Pontryagin principle
H Yoshimura, JE Marsden
Reports on Mathematical Physics 60 (3), 381-426, 2007
462007
Dirac cotangent bundle reduction
H Yoshimura, JE Marsden
Journal of Geometric Mechanics 1 (1), 87-158, 2009
362009
A variational formulation of nonequilibrium thermodynamics for discrete open systems with mass and heat transfer
F Gay-Balmaz, H Yoshimura
Entropy 20 (3), 163, 2018
302018
Tube dynamics and low energy Earth–Moon transfers in the 4-body system
K Onozaki, H Yoshimura, SD Ross
Advances in Space Research 60 (10), 2117-2132, 2017
302017
Dirac structures and implicit Lagrangian systems in electric networks
H Yoshimura, JE Marsden
Proc. of the 17th International Symposium on Mathematical Theory of Networks …, 2006
272006
Dirac structures in nonequilibrium thermodynamics
F Gay-Balmaz, H Yoshimura
Journal of Mathematical Physics 59 (1), 2018
232018
Dirac structures and the Legendre transformation for implicit Lagrangian and Hamiltonian systems
H Yoshimura, JE Marsden
Lagrangian and Hamiltonian Methods for Nonlinear Control 2006: Proceedings …, 2007
232007
Dirac reduction for nonholonomic mechanical systems and semidirect products
F Gay-Balmaz, H Yoshimura
Advances in Applied Mathematics 63, 131-213, 2015
222015
The Hamilton-Pontryagin principle and multi-Dirac structures for classical field theories
J Vankerschaver, H Yoshimura, M Leok
Journal of Mathematical Physics 53 (7), 2012
202012
Tensor products of Dirac structures and interconnection in Lagrangian mechanical systems
H Jacobs, H Yoshimura
arXiv preprint arXiv:1105.0105, 2011
202011
A free energy Lagrangian variational formulation of the Navier–Stokes–Fourier system
F Gay-Balmaz, H Yoshimura
International Journal of Geometric Methods in Modern Physics 16 (supp01 …, 2019
162019
Stokes-Dirac structures through reduction of infinite-dimensional Dirac structures
J Vankerschaver, H Yoshimura, M Leok, JE Marsden
49th IEEE Conference on Decision and Control (CDC), 6265-6270, 2010
162010
Variational discretization of the nonequilibrium thermodynamics of simple systems
F Gay-Balmaz, H Yoshimura
Nonlinearity 31 (4), 1673, 2018
142018
Dirac structures in nonequilibrium thermodynamics for simple open systems
F Gay-Balmaz, H Yoshimura
Journal of Mathematical Physics 61 (9), 2020
112020
On the geometry of multi-Dirac structures and Gerstenhaber algebras
J Vankerschaver, H Yoshimura, M Leok
Journal of Geometry and Physics 61 (8), 1415-1425, 2011
112011
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Articles 1–20