A branching of solutions of kinetic equations and the shock waves
Matematičeskoe modelirovanie, Tome 9 (1997) no. 10, pp. 120-124
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The present paper is dedicated to investigation of phenonomenon of nonlinear Boltzmann-like kinetic equation solutions branching. The common properties of this equation trivial solution bifurcation origin are determined. As example of weak shock-wave problem in onedimensional case the physical consequences of this phenomenon are analyzed.
@article{MM_1997_9_10_a39,
author = {N. N. Fimin and V. A. Chuyanov},
title = {A~branching of solutions of kinetic equations and the shock waves},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {120--124},
year = {1997},
volume = {9},
number = {10},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_1997_9_10_a39/}
}
N. N. Fimin; V. A. Chuyanov. A branching of solutions of kinetic equations and the shock waves. Matematičeskoe modelirovanie, Tome 9 (1997) no. 10, pp. 120-124. http://geodesic.mathdoc.fr/item/MM_1997_9_10_a39/