On Global Solvability, Entropy Dissipation, and Numerical Analysis of Reaction-Diffusion Systems with Cross-Diffusion and Markov Kinetics

This paper studies multicomponent reaction-diffusion systems with cross-diffusion and Markov kinetics in an entropy-structured setting.

It establishes global weak solvability for an admissible class, proves exponential relaxation in the conservative regime, and combines theory with entropy-consistent numerical experiments.