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arXiv · 1609.06658

Well-posedness of the vector advection equations by stochastic perturbation

Franco Flandoli·Christian Olivera
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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.

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Franco Flandoli, Christian Olivera. 2016-09-21. Well-posedness of the vector advection equations by stochastic perturbation. https://arxiv.org/abs/1609.06658

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