A mathematical model of a unimolecular heterogeneous catalytic reaction is considered in the case where the adsorbate can diffuse along the surface of a catalyst and the desorption of the reaction product from the surface of the adsorbent is instantaneous. The model is described by a coupled parabolic system. The existence and uniqueness of a classical solution are established. Bibliography: 16 titles.
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Translated from Problems in Mathematical Analysis 65, May, 2012, pp. 13-26.
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Ambrazevičius, A. Solvability theorem for a model of a unimolecular heterogeneous reaction with adsorbate diffusion. J Math Sci 184, 383–398 (2012). https://doi.org/10.1007/s10958-012-0874-4
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DOI: https://doi.org/10.1007/s10958-012-0874-4