Continual approximate solution of the Boltzmann equation with arbitrary density |
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| Author |
gordevskyy2006@yandex.ru, sazonovaes@rambler.ru
V.N. Karazin Kharkiv National University
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| Abstract |
The new explicit approximate solution of the non-linear Boltzmann equation was constructed.
It has the form of the continual distribution in the case of global Maxwellians with
arbitrary density. We obtained some sufficient conditions which minimized the uniform-integral
remainder and pure integral remainder between the left- and the right-hand sides of this equation.
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| Keywords |
hard spheres; Boltzmann equation; Maxwellian; remainder; continual distribution; arbitrary density
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| DOI |
doi:10.15330/ms.45.2.194-204
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| Reference |
1. C. Cercignani, The Boltzman Equation and its Applications, Springer, New York, 1988.
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| Pages |
194-204
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| Volume |
45
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| Issue |
2
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| Year |
2016
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |