On the global well-posedness of discrete Boltzmann systems with chemical reaction

Abstract

We study an initial-boundary value problem in one-space dimension for the discrete Boltzmann equation extended to a diatomic gas undergoing both elastic multiple collisions and chemical reactions. By integration of conservation equations, we prove a global existence result in the half-space for small initial data $\,N_0\in\,\mathcal{B}^1_+\cap L^1$.