Abstract
Recent developments in the theory of the nonlinear Boltzmann equation are described. It is shown how the Abel transform relates two different models, how the method of a priori estimates provides existence theorems, and how the asymptotic behavior of solutions is quantized. The pure solutions of the considered equations are discussed, and finally a general family of solutions is given.
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Barnsley, M.F., Turchetti, G. (1980). New Results on the Nonlinear Boltzmann Equation. In: Bardos, C., Bessis, D. (eds) Bifurcation Phenomena in Mathematical Physics and Related Topics. NATO Advanced Study Institutes Series, vol 54. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9004-3_18
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DOI: https://doi.org/10.1007/978-94-009-9004-3_18
Publisher Name: Springer, Dordrecht
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