structure in place, we can prove global existence of classical solutions under relatively relaxed assumptions:

\[T1\] Assume the initial particle distribution satisfies $v_0^\a f^0 \in L^\infty(\bfR^3)$ and $v_0^{\b-k/2} {\partial}_x^k f^0 \in L^2(\bfR^3)$ for some $ \a > 5,  \b > 2$, and all $k=0,1,2$. Additionally, assume $f^0$ possesses compact support in $x$ with $E_2^0,  B^0 \in H^2(\mathbb{R})$ and $\phi \in C^1_c(\bfR)$. Then, for any $T > 0$ there exist unique functions $f \in C^1((0,T) \times\bfR; C^2(\bfR^2)), E \in C^1((0,T) \times \mathbb{R};\bfR^2)$, and $B \in C^1((0,T) \times \mathbb{R})$ satisfying (\[RVMFP\]) on $(0,T)$ and the Cauchy data $f(0,x,v) =  f^0(x,v)$, $E_2(0,x) = E_2^0(x)$, and $B(0,x)  =  B^0(x)$.

We note that a similar global existence theorem for classical solutions can be proven by adapting the methods of Lai [@Lai] and Degond [@Degond], which rely only on $L^\infty$ estimates of the density and its derivatives. The initial data would need to satisfy $v_0^\a  f^0 \in C^k(\bfR^3)$ for some $\a > 3$ and $k \geq 2$ with $E_2^0,  B^0 \in C^2(\bfR)$, which is more restrictive than our assumptions and requires derivatives in $v$ initially. Since we utilize $L^2$ estimates instead, we are able to gain derivatives in $v$ for the particle distribution. Of course, the 