unsolved for (\[RVMFP\]). For much of the existence theory for collisionless models, one is mainly focused on bounding the velocity support of the distribution function $f$, assuming that $ f^0$ possess compact momentum support, as this condition has been shown to imply global existence [@GlStr]. Hence, one of the main difficulties which arises for (\[RVMFP\]) is the introduction of particles that are propagated with infinite momentum, stemming from the inclusion of the diffusive Fokker-Planck operator. Thus, the momentum support is necessarily unbounded and many known tools are unavailable. Though the $v$-support of the distribution function is not bounded, we are able to overcome this issue by controlling large enough moments of the distribution to guarantee sufficient decay of $f$ in its momentum argument. This also allows us to control the singularities which arise from representing derivatives of the fields. As an additional difference arising from the Fokker-Planck operator, we note that when studying collisionless systems, in which $D \equiv 0$, $L^\infty$ is typically the proper space in which to estimate both the particle distribution and the fields. With the addition of the diffusion operator, though, the natural space in which to estimate $f$ is now $L^2$. Thus, to take advantage 