Stochastic interacting particle systems and nonlinear kinetic equations

@inproceedings{Eibeck2002StochasticIP,
  title={Stochastic interacting particle systems and nonlinear kinetic equations},
  author={Andreas Eibeck and Wolfgang Wagner},
  year={2002}
}
We present the stochastic approach to nonlinear kinetic equations (without gradient terms) in a unifying general framework, which covers many interactions important in applications, like coagulation, fragmentation, inelastic collisions, as well as source and e ux terms. We provide conditions for the existence of corresponding stochastic particle systems in the sense of regularity (non-explosion) of a jump process with unbounded intensity. Using an appropriate space of measure-valued functions… CONTINUE READING

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