| タイトル | A minimum entropy principle in the gas dynamics equations |
| 本文（外部サイト） | http://hdl.handle.net/2060/19860020949 |
| 著者（英） | Tadmor, E. |
| 著者所属（英） | NASA Langley Research Center |
| 発行日 | 1986-05-01 |
| 言語 | eng |
| 内容記述 | Let u(x bar,t) be a weak solution of the Euler equations, governing the inviscid polytropic gas dynamics; in addition, u(x bar, t) is assumed to respect the usual entropy conditions connected with the conservative Euler equations. We show that such entropy solutions of the gas dynamics equations satisfy a minimum entropy principle, namely, that the spatial minimum of their specific entropy, (Ess inf s(u(x,t)))/x, is an increasing function of time. This principle equally applies to discrete approximations of the Euler equations such as the Godunov-type and Lax-Friedrichs schemes. Our derivation of this minimum principle makes use of the fact that there is a family of generalized entrophy functions connected with the conservative Euler equations. |
| NASA分類 | NUMERICAL ANALYSIS |
| レポートNO | 86N30421
ICASE-86-33
NASA-CR-178123
NAS 1.26:178123 |
| 権利 | No Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/153453 |
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