Construction of probabilistic solutions of the Boltzmann equation
The proving method of the Cauchy problem solvability of the Boltzmann kinetic equation with spatially uniform initial data in the case of particle scattering cross-section finiteness is proposed. It is based on the construction of the auxiliary vector-valued random process such that the particle vel...
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| Datum: | 2007 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2007
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| Schriftenreihe: | Вопросы атомной науки и техники |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Construction of probabilistic solutions of the Boltzmann equation / Yu.P. Virchenko, T.V. Karabutova // Вопросы атомной науки и техники. — 2007. — № 3. — С. 297-300. — Бібліогр.: 6 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | The proving method of the Cauchy problem solvability of the Boltzmann kinetic equation with spatially uniform initial data in the case of particle scattering cross-section finiteness is proposed. It is based on the construction of the auxiliary vector-valued random process such that the particle velocity distribution function satisfying the Boltzmann equation is the first order marginal probability distribution of this random process. |
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