Stochastic Tamed Navier--Stokes Equations with Wiener and Jump Noise on ${\mathbb{R}}^3$. I. Maximal Local $L^p$-Well-Posedness

Bikram Podder, Surendra Kumar

We establish maximal local $L^p$-well-posedness, for $p>3$, for the stochastic tamed Navier--Stokes equations on ${\mathbb{R}}^3$ driven simultaneously by multiplicative cylindrical W…