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We consider a class of bulk-surface reaction-adsorption-diffusion systems,i.e. a coupled systems of reaction-diffusion systems on a bounded domain$\Omega \subseteq \mathbb{R}^d$ (bulk phase) and its boundary $\Sigma =\partial \Omega$ (surface phase), which are coupled via nonlinear normal fluxboundary conditions. In particular, this class includes a heterogeneouscatalysis model with Fickian bulk and surface diffusion and nonlinearadsorption of Langmuir type, i.e. transport from the bulk phase to the activesurface, and desorption. For this model, we obtain well-posedness, positivityand global-in-time existence of solutions under some realistic structuralconditions on the chemical reaction network and the sorption model.

Analysis of bulk-surface reaction-sorption-diffusion systems with Langmuir type adsorption