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Matematicheskoe modelirovanie, 1997, Volume 9, Number 10, Pages 120–124 (Mi mm1471)  
Computational methods and algorithms

A branching of solutions of kinetic equations and the shock waves

N. N. Fimin, V. A. Chuyanov

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
Full-text PDF (579 kB)
Abstract: 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.
Received: 28.07.1997
Bibliographic databases:
Language: Russian
Citation: N. N. Fimin, V. A. Chuyanov, “A branching of solutions of kinetic equations and the shock waves”, Mat. Model., 9:10 (1997), 120–124
Citation in format AMSBIB
\Bibitem{FimChu97}
\by N.~N.~Fimin, V.~A.~Chuyanov
\paper A~branching of solutions of kinetic equations and the shock waves
\jour Mat. Model.
\yr 1997
\vol 9
\issue 10
\pages 120--124
\mathnet{http://mi.mathnet.ru/mm1471}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1611568}
\zmath{https://zbmath.org/?q=an:1071.76567}
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