Solvability of a model for monomer–monomer surface reactions. (June 2017)

• Record Type: Journal Article
• Authors: Ambrazevičius, A.; Skakauskas, V.
• Is Part Of: Nonlinear analysis. Volume 35(2017)
• Page Start: 211
• Page End: 228
• Publication Date: 2017-06
• Subjects: Coupled parabolic systems -- Heterogeneous catalysis -- Reaction–diffusion system; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.11.001
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: A mathematical model for a monomer–monomer surface reaction is considered taking into account the surface diffusion of adsorbed particles of both reactants. The model is described by a coupled system of parabolic equations where some of them are defined in a domain and the other ones have to be solved on the domain surface. The existence and uniqueness theorem of a classic solution for the time-dependent problem is proved. Non-uniqueness of solutions for the steady-state problem is established.