Martingale Suitable Weak Solutions of $3$-D Stochastic Navier-Stokes
Equations with Vorticity Bounds
Martingale Suitable Weak Solutions of $3$-D Stochastic Navier-Stokes
Equations with Vorticity Bounds
In this paper, we construct suitable weak martingale solutions for $3$-dimensional incompressible stochastic Navier-Stokes equations with linear multiplicative noise. In deterministic setting, as widely known, ``suitable weak solutions'' are Leray-Hopf weak solutions enjoying two different types of local energy inequalities. In stochastic setting, we are able to show corresponding stochastic …