A continuum individual-based model of hopping and coalescing particles is introduced and studied. Its microscopic dynamics are described by a hierarchy of evolution equations obtained in the paper. Then the passage from the micro- to mesoscopic dynamics is performed by means of a Vlasov-type scaling. The existence and uniqueness of the solutions of the corresponding kinetic equation are proved.
Evolution equations for a cubic stochastic process
Dynamical analysis of evolution equations in generalized models
A Framework for the Numerical Computation and a Posteriori Verification of Invariant Objects of Evolution Equations
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