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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 80, Issue 2, Pages 271–285
DOI: https://doi.org/10.1070/SM1995v080n02ABEH003525 (Mi sm1024) 		 
This article is cited in 20 scientific papers (total in 20 papers)

On discrete models of the quantum Boltzmann equation

V. V. Vedenyapin, I. V. Mingalev, O. V. Mingalev
English version PDF (721 kB) Citations (20) Russian version article
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DOI: https://doi.org/10.1070/SM1995v080n02ABEH003525
Abstract: A certain class of discrete models for the quantum Boltzmann equation is proposed. In the case of fermions a theorem of existence and uniqueness in the large is proved. In the case of bosons such a theorem is proved for models with the maximum principle. For one simple model analytic solution of the traveling wave problem is given.
Received: 17.02.1992
Bibliographic databases:
UDC: 517.9+533.9
MSC: Primary 35Q40; Secondary 82C10, 82D05
Language: English
Original paper language: Russian
Citation: V. V. Vedenyapin, I. V. Mingalev, O. V. Mingalev, “On discrete models of the quantum Boltzmann equation”, Russian Acad. Sci. Sb. Math., 80:2 (1995), 271–285
Citation in format AMSBIB
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\by V.~V.~Vedenyapin, I.~V.~Mingalev, O.~V.~Mingalev
\paper On discrete models of the~quantum Boltzmann equation
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 80
\issue 2
\pages 271--285
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\crossref{https://doi.org/10.1070/SM1995v080n02ABEH003525}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1251000}
\zmath{https://zbmath.org/?q=an:0832.35119}
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  • https://www.mathnet.ru/eng/sm/v184/i11/p21
    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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