Stochastic Tamed Navier--Stokes Equations with Wiener and Jump Noise on $\mathbb R^3$. II. Global $L^p$ Well-Posedness
We establish intrinsic continuation criteria and finite-energy global solvability for the stochastic tamed Navier--Stokes equations on $\mathbb R^3$ driven simultaneously by multiplicative cylindrical Wiener and compensated Poisson noise. Under local coefficient hypotheses, the maximal local $L^p$ solution, $p>3$, sati...