Well-posedness of stochastic continuity equations on Riemannian manifolds

Luca Galimberti, Kenneth H. Karlsen

We analyze continuity equations with Stratonovich stochasticity, $\partial \rho +di{v}_h\left[\rho \circ \left(u(t,x)+{\sum }_{i=1}^N{a}_i(x){\dot{W}}_i(t)\right)\right]=0$, defined on a smoot…