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A continuum individual based model of fragmentation: dynamics of correlation functions.
- Source :
-
Annales UMCS, Mathematica . 2016, Vol. 70 Issue 2, p73-83. 11p. - Publication Year :
- 2016
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *STATISTICAL correlation
*PHASE space
*EVOLUTION equations
Subjects
Details
- Language :
- English
- ISSN :
- 03651029
- Volume :
- 70
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Annales UMCS, Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- 120399879
- Full Text :
- https://doi.org/10.1515/umcsmath-2015-0023