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A continuum individual based model of fragmentation: dynamics of correlation functions

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Tanaś A.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2015

tom 69

nr 2

An individual-based model of an infinite system of point particles in Rd is proposed and studied. In this model, each particle at random produces a finite number of new particles and disappears afterwards. The phase space for this model is the set Γ of all locally finite subsets of Rd. The system's states are probability measures on Γ the Markov evolution of which is described in terms of their correlation functions in a scale of Banach spaces. The existence and uniqueness of solutions of the corresponding evolution equation are proved.

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1 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

1 Tanaś A.

1 2015

Wyniki wyszukiwania

A continuum individual based model of fragmentation: dynamics of correlation functions