Large-time behavior of solutions of the discrete Boltzmann equation |
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| Authors: | Shuichi Kawashima |
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| Affiliation: | (1) Department of Mathematics, Nara Women's University, 630 Nara, Japan;(2) Present address: Department of Applied Science, Faculty of Engineering, Kyushu University 36, 812 Fukuoka, Japan |
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| Abstract: | Large-time behavior of solutions of the one-dimensional discrete Boltzmann equation is studied. Under suitable assumptions it is proved that as time tends to infinity, the solution approaches a function which is constructed explicitly in terms of the self-similar solutions of the Burgers equation and the linear heat equation. |
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