Implications of Kunita-Itô-Wentzell formula for $k$-forms in stochastic fluid dynamics

Aythami Bethencourt de Léon, Darryl Holm, Erwin Luesink +1

We extend the Itô-Wentzell formula for the evolution of a time-dependent stochastic field along a semimartingale to $k$-form-valued stochastic processes. The result is the Kunita-I…