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 surface quasi-geostrophic equation with an irregular spatial perturbation∂ t θ+
u⋅∇ θ=− ν (− Δ) γ/2 θ+ ζ, u=∇⊥(− Δ)− 1 θ, on [0,∞)× T 2, with ν⩾ 0, γ∈[0, 3/2) and ζ∈ …

In this paper we establish a sharp nonuniqueness result for stochastic-dimensional ()
incompressible Navier–Stokes equations. First, for every divergence-free initial condition in …

We prove the non-uniqueness of weak solutions to 3D magnetohydrodynamic (MHD for
short) equations. The constructed weak solutions do not conserve the magnetic helicity and …

We consider the stochastic Navier--Stokes equations in three dimensions and prove that the
law of analytically weak solutions is not unique. In particular, we focus on three examples of …

We are concerned with the power-law fluids driven by an additive stochastic forcing in
dimension d⩾ 3. For the power index r∈(1, 3 d+ 2 d+ 2), we establish existence of infinitely …

We prove non-uniqueness in law of the three-dimensional magnetohydrodynamics system
that is forced by random noise of an additive and a linear multiplicative type and has viscous …