Background Vlasov equations and Young measures for passive scalar and vector advection equations under special stochastic scaling limits
In the last few years it was proved that scalar passive quantities subject to suitable stochastic
transport noise, and more recently that also vector passive quantities subject to suitable …
transport noise, and more recently that also vector passive quantities subject to suitable …
Quantitative estimates for SPDEs on the full space with transport noise and -initial data
D Luo, B Xie, G Zhao - arXiv preprint arXiv:2410.21855, 2024 - arxiv.org
For the stochastic linear transport equation with $ L^ p $-initial data ($1< p< 2$) on the full
space $\mathbb {R}^ d $, we provide quantitative estimates, in negative Sobolev norms …
space $\mathbb {R}^ d $, we provide quantitative estimates, in negative Sobolev norms …
Well-posedness of rough 2D Euler equation with bounded vorticity
L Roveri, F Triggiano - arXiv preprint arXiv:2410.24040, 2024 - arxiv.org
We consider the 2D Euler equation with bounded initial vorticity and perturbed by rough
transport noise. We show that there exists a unique solution, which coincides with the …
transport noise. We show that there exists a unique solution, which coincides with the …