This paper studies reaction-diffusion systems with cross-diffusion and Markov kinetics in an entropy-structured setting. Global weak solvability is established for an entropy-structured subclass, while entropy dissipation, exponential relaxation to equilibrium, weak-strong uniqueness in a diagonal subclass, and numerical behavior are analyzed under additional assumptions. The results combine analytical and computational perspectives for structurally relevant classes of multicomponent systems.
Shchetinin et al. (Sat,) studied this question.