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Article Dans Une Revue Kinetic and Related Models Année : 2018

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

Résumé

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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Dates et versions

hal-01956021 , version 1 (14-12-2018)

Identifiants

  • HAL Id : hal-01956021 , version 1

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Mario Pulvirenti, Sergio Simonella, Anton Trushechkin. Microscopic solutions of the Boltzmann-Enskog equation in the series representation. Kinetic and Related Models , 2018, 11 (4), pp.911-931. ⟨hal-01956021⟩
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