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Solving Boltzmann Equations by Bateman and Riccati Equations
Luleå tekniska universitet.
2001 (English)Report (Other academic)
Abstract [en]

Propositions for solutions of two discrete-velocity Boltzmann equations are given by rescaling Ans¨atze using truncated Painleve expansions. Solutions of the two- and three-dimensional Bateman equations for the singularity manifold conditions are used to reduce the problem to Riccati equations. This enables us to extend, essentially, the solutions obtainable by truncated Painlevé expansions for a two-dimensional and a three- dimensional Boltzmann equation. Both equations do not pass the Painlevé test.

Place, publisher, year, edition, pages
Luleå: Luleå tekniska universitet, 2001. , 20 p.
Gula serien, ISSN 1400-4003 ; 2001:01
Research subject
URN: urn:nbn:se:ltu:diva-25235Local ID: e4c1634a-819a-4d31-bb63-15b585d2dedcOAI: diva2:998287
Godkänd; 2001; 20120118 (ysko)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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