  In this paper, we prove the global existence of the weak solution to the mean
field kinetic equation derived from the $N$-particle Newtonian system. For
$L^1\cap L^\infty$ initial data, the solvability of the mean field kinetic
equation can be obtained by using uniform estimates and compactness arguments
while the difficulties arising from the non-local non-linear interaction are
tackled appropriately using the Aubin-Lions compact embedding theorem.
