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arXiv · 1510.07491

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

Agnieszka Tanaś
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Abstract

An individual-based model of an infinite system of point particles in $\mathbb{R}^d$ 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 $\mathbb{R}^d$. 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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Agnieszka Tanaś. 2015-10-26. A continuum individual based model of fragmentation: dynamics of correlation functions. https://arxiv.org/abs/1510.07491

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