Abstract
We prove that the initial value problem associated with the Vlasov–Manev system (a Vlasov equation in which a correction of type ε/r 2 is added to the Newtonian or Coulomb potential) has a local in time classical and unique solution for sufficiently regular initial data.
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Illner, R., Victory, H.D., Dukes, P. et al. On Vlasov–Manev Equations, II: Local Existence and Uniqueness. Journal of Statistical Physics 91, 625–654 (1998). https://doi.org/10.1023/A:1023029711405
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DOI: https://doi.org/10.1023/A:1023029711405