- Autor(in)
- Referenz
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1 Maass, W., Ann. Physik, 25 (1970) 403.
2 Zubov, V. I., Methods of A. M. LYAPUNOV and their application, Noordhoff, Groningen 1964).
3 Bhatia, E. P., and O. Hajek, Local semi-dynamical systems, Lect. Notes in Math. 90, Springer 1969).
4 Barbashin, E. A., Introduction to the theory of stability, Wolters-Noordhoff, Groningen 1970.
5 Grad, H., J. SIAM, 13 (1965) 259.
6 Pao, Y. P., J. Math. Phys., 8 (1967) 1893.
7 Cercignani, C., Math. methods in kinetic theory, Plenum Press, N. Y. 1969).
8 Ljusternik, L. A., W. I. Sobolew, Elemente der Funktionalanalysis, Akademie-Verlag, Berlin 1960.
9 Beckenbach, E. F., R. Bellman, Inequalities, Springer, Berlin 1965).
- Seitenbereich
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0205 - 0210
- Zusammenfsg.
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For the linearized B<small>OLTZMANN</small> equation and a class of "modifications" of the linearized B<small>OLTZMANN</small> equation (including the usual B<small>OLTZMANN</small> equation) exponential-asymptotic stability of the total equilibrium is proved with respect to some boundary and existence assumptions which seem to be physically reasonable. Of course, this structural stability is important if B<small>OLTZMANN</small>'s equation has to be considered under the influence of "perturbations" or if it is substituted by model equations.
- Artikel-Typen
- Forschungsartikel