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We analyse fast reaction limit in the reaction-diffusion system withnonmonotone reaction function and one non-diffusing component. As speed ofreaction tends to infinity, the concentration of non-diffusing componentexhibits fast oscillations. We identify precisely its Young measure which, as aby-product, proves strong convergence of the diffusing component, a result thatis not obvious from a priori estimates. Our work is based on analysis ofregularization for forward-backward parabolic equations by Plotnikov. Werewrite his ideas in terms of kinetic functions which clarifies the method,brings new insights, relaxes assumptions on model functions and provides a weakformulation for the evolution of the Young measure.

Fast reaction limit with nonmonotone reaction function