Production terms in relativistic extended thermodynamics of gas with internal structure via a new BGK model

The goal of this paper is to obtain a precise expression for the production tensor in a dissipative hyperbolic relativistic theory of gas with internal structure. For this aim, we use a variant of relativistic BGK model for the Boltzmann–Chernikov kinetic equation. Moreover, we deduce some inequalities for the coefficients requiring the entropy principle and the convexity of entropy density. As a limiting case, the expression of the production tensor in the case of monatomic gas is also evaluated.