2 papers
math.NA2024
Variational integrators for stochastic Hamiltonian systems on Lie groups: properties and convergence
François Gay-Balmaz, Meng Wu
We derive variational integrators for stochastic Hamiltonian systems on Lie groups using a discrete version of the stochastic Hamiltonian phase space principle. The structure-prese…
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…