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We consider the Vlasov-Manev-Fokker-Planck (VMFP) system in three dimensions,which differs from the Vlasov-Poisson-Fokker-Planck in that it has thegravitational potential of the form $-1/r - 1/r^2$ instead of the Newtonianone. For the VMFP system, we establish the global-in-time existence of weaksolutions. The proof extends to several related kinetic systems.

Global-in-time existence of weak solutions for Vlasov-Manev-Fokker-Planck system