Journal of Mathematical Sciences

, Volume 184, Issue 4, pp 383–398 | Cite as

Solvability theorem for a model of a unimolecular heterogeneous reaction with adsorbate diffusion


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.


Classical Solution Fundamental Solution Volterra Integral Equation Turing Pattern Negative Minimum 
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© Springer Science+Business Media, Inc. 2012

Authors and Affiliations

  1. 1.Vilniaus universitetasVilniusLithuania

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