5 papers
On local well-posedness of the stochastic incompressible density-dependent Euler equations
Claudia Espitia, David A. C. Mollinedo, Christian Olivera
In this paper we study the stochastic inhomogeneous incompressible Euler equations in the whole space $\RR^3$. We prove the existence and pathwise uniqueness of local solutions wit…
W^{1,p}-solutions of the transport equation by stochastic perturbation
David A. C. Mollinedo
We consider the stochastic transport equation with a possibly unbounded Hölder continuous vector field. Well-posedness is proved, namely, we show existence, uniqueness and strong s…
Existence and smoothness of the density for the stochastic continuity equation
David A. C. Mollinedo, Christian Olivera, Ciprian A. Tudor
We consider the stochastic continuity equation driven by Brownian motion. We use the techniques of the Malliavin calculus to show that the law of the solution has a density with re…
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.
Well-posedness of the stochastic transport equation with unbounded drift
David A. C. Mollinedo, Christian Olivera
The Cauchy problem for a multidimensional linear transport equation with unbounded drift is investigated. Provided the drift is Holder continuous , existence, uniqueness and strong…