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math.AP2016
Stochastic continuity equation with non-smooth velocity
David A. C., Christian Olivera
In this article we study the existence and uniqueness of solutions of stochastic continuity equation with irregular coefficients.
math.AP2016
Well-posedness of the vector advection equations by stochastic perturbation
Franco Flandoli, Christian Olivera
A linear stochastic vector advection equation is considered. The equation may model a passive magnetic field in a random fluid. The driving velocity field is a integrable to a cert…