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math.NA2024
Geometric low-rank approximation of the Zeitlin model of incompressible fluids on the sphere
Cecilia Pagliantini
We consider the vorticity formulation of the Euler equations describing the flow of a two-dimensional incompressible ideal fluid on the sphere. Zeitlin's model provides a finite-di…
math.NA2024
Conformal variational discretisation of infinite dimensional Hamiltonian systems with gradient flow dissipation
Damiano Lombardi, Cecilia Pagliantini
Nonconservative evolution problems describe irreversible processes and dissipative effects in a broad variety of phenomena. Such problems are often characterised by a conservative…