Macroscopic limit of Vlasov type equations with friction

  title={Macroscopic limit of Vlasov type equations with friction},
  author={Pierre-Emmanuel Jabin},
The purpose of this paper is to investigate the limit of some kinetic equations with a strong force. Due to friction, the solution concentrates to a monokinetic distribution so as to keep the total of force bounded and in the limit we recover a macroscopic system. This kind of asymptotics is a natural question when the mass of the particles is very small or their inertia is neglected. After that we also study the properties of the limit system and especially the uniqueness of solutions which… CONTINUE READING
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