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• W4213309619 abstract "Abstract We analyse the fast reaction limit in the reaction‐diffusion system with nonmonotone reaction function and one nondiffusing component. As speed of reaction tends to infinity, the concentration of the nondiffusing component exhibits fast oscillations. We identify precisely its Young measure which, as a by‐product, proves strong convergence of the diffusing component, a result that is not obvious from a priori estimates. Our work is based on an analysis of regularization for forward‐backward parabolic equations by Plotnikov. We rewrite his ideas in terms of kinetic functions which clarifies the method, brings new insights, relaxes assumptions on model functions, and provides a weak formulation for the evolution of the Young measure. © 2022 Wiley Periodicals LLC." @default.
• W4213309619 created "2022-02-24" @default.
• W4213309619 creator A5044062929 @default.
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• W4213309619 date "2022-02-23" @default.
• W4213309619 modified "2023-10-16" @default.
• W4213309619 title "Fast Reaction Limit with Nonmonotone Reaction Function" @default.
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• W4213309619 doi "https://doi.org/10.1002/cpa.22042" @default.
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