The instantaneous limit for reaction-diffusion systems with a fast irreversible reaction

Abstract : We consider reaction-diffusion systems which, in addition to certain slow reactions, contain a fast irreversible reaction in which chemical components A and B form a product P. In this situation and under natural assumptions on the RD-system we prove the convergence of weak solutions, as the reaction speed of the irreversible reaction tends to infinity, to a weak solution of a limiting system. The limiting system is a Stefan-type problem with a moving interface at which the chemical reaction front is localized.
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Submitted on : Thursday, April 5, 2012 - 5:45:16 PM
Last modification on : Thursday, November 15, 2018 - 11:56:36 AM

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Dieter Bothe, Michel Pierre. The instantaneous limit for reaction-diffusion systems with a fast irreversible reaction. Discrete and Continuous Dynamical Systems - Series S, American Institute of Mathematical Sciences, 2012, 5 (1), pp.49-59. ⟨10.3934/dcdss.2012.5.49⟩. ⟨hal-00685755⟩

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