The paper is concerned with the problem of regularization by noise of 3D Navier–Stokes
equations. As opposed to several attempts made with additive noise which remained …

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 review recent developments in the field of mathematical fluid dynamics which utilize
techniques that go under the umbrella name convex integration. In the hydrodynamical …

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 …

We establish that global-in-time existence and non-uniqueness of probabilistically strong
solutions to the three dimensional Navier–Stokes system driven by space-time white noise …

We are concerned with the three-dimensional incompressible Navier–Stokes equations
driven by an additive stochastic forcing of trace class. First, for every divergence free initial …

We establish existence of infinitely many stationary solutions as well as ergodic stationary
solutions to the three dimensional Navier--Stokes and Euler equations in the deterministic …

We study the nonlinear wave equation (NLW) on the two-dimensional torus T 2 with
Gaussian random initial data on H s (T 2)× H s− 1 (T 2), s< 0, distributed according to the …

We consider a family of stochastic 2D Euler equations in vorticity form on the torus, with
transport-type noises and L^ 2 L 2-initial data. Under a suitable scaling of the noises, we …

We are concerned with the question of well‐posedness of stochastic, three‐dimensional,
incompressible Euler equations. In particular, we introduce a novel class of dissipative …