# Global Strong Solutions for a Class of Heterogeneous Catalysis Models

Source: [Global Strong Solutions for a Class of Heterogeneous Catalysis Models](<https://www.sota2.com/research/paper/68fa541a1e209131ce988d9c>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T12:49:27.175Z

Authors: Dieter Bothe, Matthias K\\"ohne, Siegfried Maier, J\\"urgen Saal

Published: 2015-10-21T10:24:11.000Z

## Abstract

We consider a mathematical model for heterogeneous catalysis in a finite three-dimensional pore of cylinder-like geometry, with the lateral walls acting as a catalytic surface. The system under consideration consists of a diffusion-advection system inside the bulk phase and a reaction-diffusion-sorption system modeling the processes on the catalytic wall and the exchange between bulk and surface. We assume Fickian diffusion with constant coefficients, sorption kinetics with linear growth bound and a network of chemical reactions which possesses a certain triangular structure. Our main result gives sufficient conditions for the existence of a unique global strong $L^2$-solution to this model, thereby extending by now classical results on reaction-diffusion systems to the more complicated case of heterogeneous catalysis.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1510.06195>)

[PDF](<https://arxiv.org/pdf/1510.06195.pdf>)