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math.AP2024
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…
math.AP2018
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…