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A kinetic reaction model: Decay to equilibrium and macroscopic limit

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  • 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 difference of the position densities.
    Mathematics Subject Classification: Primary: 76P05; Secondary: 82B40, 82C40, 82D05, 76V05.


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