On Hydrodynamic Equations at the Limit of Infinitely Many Molecules
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2243-6 |2 doi |
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| 245 | 0 | 0 | |a On Hydrodynamic Equations at the Limit of Infinitely Many Molecules |h [Elektronische Daten] |c [S. Dostoglou, N. Jacob, Jianfei Xue] |
| 520 | 3 | |a We show that the weak convergence of point measures and (2 + ∈)-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 the molecule interaction, a certain N-rescaling of potentials that include all r −p for 1 < p, is weak enough at the initial time. In this case, the hydrodynamic equations coincide with the macroscopic Maxwell equations. Bibliography: 23 titles. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Dostoglou |D S. |u University of Missouri, 65211, Columbia, MO, USA |4 aut | |
| 700 | 1 | |a Jacob |D N. |u University of Missouri, 65211, Columbia, MO, USA |4 aut | |
| 700 | 1 | |a Xue |D Jianfei |u University of Missouri, 65211, Columbia, MO, USA |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 205/2(2015-02-01), 222-239 |x 1072-3374 |q 205:2<222 |1 2015 |2 205 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2243-6 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2243-6 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Dostoglou |D S. |u University of Missouri, 65211, Columbia, MO, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Jacob |D N. |u University of Missouri, 65211, Columbia, MO, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Xue |D Jianfei |u University of Missouri, 65211, Columbia, MO, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 205/2(2015-02-01), 222-239 |x 1072-3374 |q 205:2<222 |1 2015 |2 205 |o 10958 | ||