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- W3201373753 abstract "Abstract We perform a fast-reaction limit for a linear reaction-diffusion system consisting of two diffusion equations coupled by a linear reaction. We understand the linear reaction-diffusion system as a gradient flow of the free energy in the space of probability measures equipped with a geometric structure, which contains the Wasserstein metric for the diffusion part and cosh-type functions for the reaction part. The fast-reaction limit is done on the level of the gradient structure by proving EDP-convergence with tilting. The limit gradient system induces a diffusion system with Lagrange multipliers on the linear slow-manifold. Moreover, the limit gradient system can be equivalently described by a coarse-grained gradient system, which induces a diffusion equation with a mixed diffusion constant for the coarse-grained slow variable." @default.
- W3201373753 created "2021-09-27" @default.
- W3201373753 creator A5091456958 @default.
- W3201373753 date "2021-09-19" @default.
- W3201373753 modified "2023-10-10" @default.
- W3201373753 title "EDP-convergence for a linear reaction-diffusion system with fast reversible reaction" @default.
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- W3201373753 doi "https://doi.org/10.1007/s00526-021-02089-0" @default.
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