4 papers · 1 filter
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…
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…