Well-posedness of the vector advection equations by stochastic perturbation
Analysis of PDEs
2017-05-02 v2 Probability
Abstract
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 certain power and the noise is infinite dimensional. We prove that, thanks to the noise, the equation is well posed in a suitable sense, opposite to what may happen without noise.
Keywords
Cite
@article{arxiv.1609.06658,
title = {Well-posedness of the vector advection equations by stochastic perturbation},
author = {Franco Flandoli and Christian Olivera},
journal= {arXiv preprint arXiv:1609.06658},
year = {2017}
}
Comments
We made minor modifications