Abstract
This paper developes the mathematical theory of the asymptotic equivalence, initiated by the authors in a previous paper [3], between the Boltzmann and the Enskog equations referred to the solutions to the initial value problem when the radius of the hard spheres in the Enskog equation tends to zero. This paper deals with an H-theorem for the Enskog equation and proves an asymptotic equivalence result which states that the Liapunov functional proposed by Polewczak [13], referred to the solution of the initial value problem for the Enskog equation, is monotone decreasing in time and tends, when the radius of the spheres goes to zero, to the H function referred to the Boltzmann equation.
On leave from Depart. Mathematics, University of Warsaw, Poland
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© 1991 Springer-Verlag
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Bellomo, N., Lachowicz, M. (1991). On the asymptotic theory of the Boltzmann and Enskog equations a rigorous H-theorem for the Enskog equation. In: Toscani, G., Boffi, V., Rionero, S. (eds) Mathematical Aspects of Fluid and Plasma Dynamics. Lecture Notes in Mathematics, vol 1460. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091358
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DOI: https://doi.org/10.1007/BFb0091358
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