In the present paper we study fast-slow systems of coupled equations from fluid dynamics,
where the fast component is perturbed by additive noise. We prove that, under a suitable …

We construct Hölder continuous, global-in-time probabilistically strong solutions to 3D Euler
equations perturbed by Stratonovich transport noise. Kinetic energy of the solutions can be …

A fundamental open problem in fluid dynamics is whether solutions to $2 $ D Euler
equations with $(L^ 1_x\cap L^ p_x) $-valued vorticity are unique, for some $ p\in [1,\infty) …

We show global existence and non-uniqueness of probabilistically strong, analytically weak
solutions of the three-dimensional Navier–Stokes equations perturbed by Stratonovich …

In this paper we consider a class of stochastic reaction-diffusion equations. We provide local
well-posedness, regularity, blow-up criteria and positivity of solutions. The key novelties of …

In Tao 2016, the author constructs an averaged version of the deterministic three-
dimensional Navier–Stokes equations (3D NSE) which experiences blow-up in finite time. In …

In this work we consider solutions to stochastic partial differential equations with transport
noise, which are known to converge, in a suitable scaling limit, to solution of the …

Diffusion with stochastic transport is investigated here when the random driving process is a
very general Gaussian process including Fractional Brownian motion. The purpose is the …

We consider the stochastic inviscid Leray-α model on the torus driven by transport noise.
Under a suitable scaling of the noise, we prove that the weak solutions converge, in some …

In this paper, we investigate the global well-posedness of reaction-diffusion systems with
transport noise on the-dimensional torus. We show new global well-posedness results for a …