| Autor: |
Dostoglou, Stamatis, Jacob, Nicholas, Xue, Jianfei |
| Rok vydání: |
2014 |
| Předmět: |
|
| Zdroj: |
Journal of Mathematical Sciences, Vol. 205, No. 2, February, 2015 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1007/s10958-015-2243-6 |
| Popis: |
We show that weak convergence of point measures and $(2+\epsilon)$-moment conditions imply hydrodynamic equations at the limit of infinitely many interacting molecules. The conditions are satisfied whenever the solutions of the classical equations for $N$ interacting molecules obey uniform in $N$ bounds. As an example, we show that this holds when the initial conditions are bounded and that the molecule interaction, a certain $N$-rescaling of potentials that include all $r^{-p}$ for $1
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| Databáze: |
arXiv |
| Externí odkaz: |
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