Macroscopic quantities evolution in homogeneous thermostatted kinetic models

  • Carlo Bianca Laboratoire Quartz EA 7393, \\\'{E}cole Sup\'{e}rieure d'Ing\'{e}nieurs en G\'{e}nie \'{E}lectrique, \\Productique et Management Industriel, 95092 Cergy-Pontoise, France
  • Marco Menale Dipartimento di Matematica e Fisica,\\ Universit\`{a} degli Studi della Campania ``L. Vanvitelli", Viale Lincoln 5, I- 81100 Caserta, Italy

Abstract

Recently different thermostatted kinetic theory frameworks have been proposed for the modeling of homogeneous complex systems. In particular the microscopic state of the particles contains only the activity variable which defines discrete and continuous structures. This paper is concerned with the derivation of the evolution equation for some macroscopic quantities, such as the density and the linear momentum, from homogeneous kinetic frameworks with thermostat.

Published
2021-08-25