Abstract
We propose a kinetic relaxation-model to describe a generation-recombination reaction of two species.The decay to equilibrium is studied by two recent methods [9,13] for proving hypocoercivity of the linearized equations.Exponential decay of small perturbations can be shown for the full nonlinear problem.The macroscopic/fast-reaction limit is derived rigorously employing entropy decay, resulting in a nonlinear diffusion equation for the differenceof the position densities.
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