Mean-Field Magnetohydrodynamics Models as Scaling Limits of Stochastic Induction Equations
We study the asymptotic properties of a stochastic model for the induction equations of the
magnetic field in a three dimensional periodic domain. The turbulent velocity field driving the …
magnetic field in a three dimensional periodic domain. The turbulent velocity field driving the …
Global smooth solutions by transport noise of 3D Navier-Stokes equations with small hyperviscosity
A Agresti - arXiv preprint arXiv:2406.09267, 2024 - arxiv.org
The existence of global smooth solutions to the Navier-Stokes equations (NSEs) with
hyperviscosity $(-\Delta)^{\gamma} $ is open unless $\gamma $ is close to the J.-L. Lions …
hyperviscosity $(-\Delta)^{\gamma} $ is open unless $\gamma $ is close to the J.-L. Lions …
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 …