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arXiv · 1802.05926

Microscopic solutions of the Boltzmann-Enskog equation in the series representation

Mario Pulvirenti·Sergio Simonella·Anton Trushechkin
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Abstract

The Boltzmann-Enskog equation for a hard sphere gas is known to have so called microscopic solutions, i.e., solutions of the form of time-evolving empirical measures of a finite number of hard spheres. However, the precise mathematical meaning of these solutions should be discussed, since the formal substitution of empirical measures into the equation is not well-defined. Here we give a rigorous mathematical meaning to the microscopic solutions to the Boltzmann-Enskog equation by means of a suitable series representation.

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Mario Pulvirenti, Sergio Simonella, Anton Trushechkin. 2018-02-16. Microscopic solutions of the Boltzmann-Enskog equation in the series representation. https://arxiv.org/abs/1802.05926

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