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.
Microscopic solutions of the Boltzmann-Enskog equation in the series representation / Pulvirenti, M; Simonella, S; Trushechkin, A. - In: KINETIC AND RELATED MODELS. - ISSN 1937-5093. - (2018).
Microscopic solutions of the Boltzmann-Enskog equation in the series representation
Simonella S;
2018
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
