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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 131, Number 2, Pages 179–193
DOI: https://doi.org/10.4213/tmf322 (Mi tmf322) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Solutions of Discrete-Velocity Boltzmann Equations via Bateman and Riccati Equations

O. Lindblom, N. Euler

Luleå University of Technology
Full-text PDF (230 kB) Citations (17)
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DOI: https://doi.org/10.4213/tmf322
Abstract: We propose several approaches for solving two discrete-velocity Boltzmann equations using the rescaling ansatz and the truncated Painlev'e expansions. We use solutions of the two- and three-dimensional Bateman equations for the singularity manifold conditions to reduce the problem to Riccati equations. Both equations fail the Painlevé test.
Received: 02.08.2001
English version:
Theoretical and Mathematical Physics, 2002, Volume 131, Issue 2, Pages 595–608
DOI: https://doi.org/10.1023/A:1015428229008
Bibliographic databases:
Language: Russian
Citation: O. Lindblom, N. Euler, “Solutions of Discrete-Velocity Boltzmann Equations via Bateman and Riccati Equations”, TMF, 131:2 (2002), 179–193; Theoret. and Math. Phys., 131:2 (2002), 595–608
Citation in format AMSBIB
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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