On properties of aggregated regularized systems of equations for a homogeneous multicomponent gas mixture
Two aggregated regularized systems of equations for a multicomponent homogeneous gas mixture are considered.
An entropy balance equation with a non-negative entropy production is derived for them in the presence of diffusion fluxes. The existence, uniqueness and $L^2$-dissipativity of weak solutions to an initial-boundary value problem for the systems linearized on a constant solution are established. The Petrovskii parabolicity and the local in time classical unique solvability of the Cauchy problem are also proved for the aggregated systems themselves.