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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Communicated by C. H. Taubes
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Kawashima, S. Large-time behavior of solutions of the discrete Boltzmann equation. Commun.Math. Phys. 109, 563–589 (1987). https://doi.org/10.1007/BF01208958
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DOI: https://doi.org/10.1007/BF01208958