- Autor(in)
- Referenz
-
1 Zubov, V. I., Methods of A. M. Lyapunov and their application, Noordhoff, Groningen 1964.
2 Bhatia, N. P., u. G. P. Szegöo, Dynamical systems: Stability theory and applications, Lecture Notes in Math. 35, Springer 1967.
3 Bhatia, N. P., u. O. Hajek, Local semi-dynamical systems, Lecture Notes in Math. 90, Springer 1969.
4 Grad, H., J. Soc. Indust. Appl. Math. 13 (1965) 259.
5 Ljusternik, L. A., u. W. I. Sobolew, Elemente der Funktionalanalysis, AkademieVerlag, Berlin 1960.
6 Grad, H., Commun. pure appl. Math. 2 (1949) 311.
7 Uhlenbeck, G. E., u. G. W. Ford, Lect. in statist. mechanics, Am. Math. Soc., Providence 1963.
8 Münster, A., in Handbuch der Physik III/2 ( ed. S. Flügge), Springer 1959.
- Seitenbereich
-
0403 - 0410
- Zusammenfsg.
-
The Boltzmann equation for an "isolated" gas system is assumed to form a "dynamical system" in a compact subset of the space of continuous distribution functions (existence assumption). Then the asymptotic stability in the sense of Lyapunov of the total Maxwell distribution is investigated ("approach to equilibrium"). Further the influence of persistent perturbations on the stability behaviour of Boltzmann's equation is considered ("structural stability").
- Artikel-Typen
- Forschungsartikel