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math-ph2019★ 1 cited
Geometric Hydrodynamics: from Euler, to Poincaré, to Arnold
Klas Modin
These are lecture notes for a short winter course at the Department of Mathematics, University of Coimbra, Portugal, December 6--8, 2018. The course was part of the 13th Internatio…
math.PR2019★ 2 cited
Incompressible Euler equations with stochastic forcing: a geometric approach
Mario Maurelli, Klas Modin, Alexander Schmeding
We consider stochastic versions of Euler--Arnold equations using the infinite-dimensional geometric approach as pioneered by Ebin and Marsden. For the Euler equation on a compact m…