The lecture was held within the framework of the Hausdorff Trimester Program: Kinetic Theory.

Abstract:
We present in this talk a phenomenon called indirect diffusion effect in studying convergence to equilibrium by entropy method for reaction-diffusion systems, typically arising from chemical reactions. It may happen in such systems that some species do not diffuse, which causes a major difficulty as the Fischer information is missing, and consequently one does not have the logarithmic Sobolev inequality for those species. The indirect diffusion effect asserts that the combination of diffusion from diffusing species and reversible reactions will lead to some diffusion effect on non-diffusing species, which in turn drives the whole system towards the chemical equilibrium.

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