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math.DS2024
Geometric, Variational, and Bracket Descriptions of Fluid Motion with Open Boundaries
Christopher Eldred, François Gay-Balmaz, Meng Wu
We develop a Lie group geometric framework for the motion of fluids with permeable boundaries that extends Arnold's geometric description of fluid in closed domains. Our setting is…
math.DS2018
Variational discretization of thermodynamical simple systems on Lie groups
Benjamin Couéraud, François Gay-Balmaz
This paper presents the continuous and discrete variational formulations of simple thermodynamical systems whose configuration space is a (finite dimensional) Lie group. We follow…