- Tytuł:
- A continuum individual based model of fragmentation: dynamics of correlation functions
- Autorzy:
- Tanaś, Agnieszka
- Powiązania:
- https://bibliotekanauki.pl/articles/747252.pdf
- Data publikacji:
- 2015
- Wydawca:
- Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
- Tematy:
-
Configuration space
individual-based model
birth-and-death process
correlation function
scale of Banach spaces
Ovcyannikov method. - Opis:
- 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.
- Źródło:
-
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2015, 69, 2
0365-1029
2083-7402 - Pojawia się w:
- Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł