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

The Mean Field Kinetic Equation for Interacting Particle Systems with Non-Lipschitz Force