Sticky particle model and propagation of chaos (Q5945995)
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scientific article; zbMATH DE number 1658010
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sticky particle model and propagation of chaos |
scientific article; zbMATH DE number 1658010 |
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Sticky particle model and propagation of chaos (English)
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2 September 2002
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sticky particle
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propagation of chaos
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0.8912522
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0.88920534
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0.8888078
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0.87967825
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0.87604123
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The author extends the construction of \textit{A. Dermoune} [C. R. Acad. Sci., Paris, Sér. I, Math. 326, No. 5, 595-599 (1998; Zbl 0920.60087)] where a weak solution of the system of conservation law NEWLINE\[NEWLINE\partial_t(P_t)+\partial_x(uP_t)=0,\qquad \partial_t(uP_t)+\partial_x(u^2 P_t)=\alpha g(t,x) P_tNEWLINE\]NEWLINE was derived for \(\alpha=0\). Weak solutions for \(\alpha \in R^+\) are derived and sticky particle model in connection with this system is studied.
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