Augner, Björn ; Bothe, Dieter (2024)
Analysis of some heterogeneous catalysis models with fast sorption and fast surface chemistry.
In: Journal of Evolution Equations, 2021, 21 (3)
doi: 10.26083/tuprints-00023426
Article, Secondary publication, Publisher's Version
There is a more recent version of this item available. |
Abstract
We investigate limit models resulting from a dimensional analysis of quite general heterogeneous catalysismodels with fast sorption (i.e. exchange of mass between the bulk phase and the catalytic surface of a reactor) and fast surface chemistry for a prototypical chemical reactor. For the resulting reaction–diffusion systems with linear boundary conditions on the normalmass fluxes, but at the same time nonlinear boundary conditions on the concentrations itself, we provide analytic properties such as local-in-time well-posedness, positivity, a priori bounds and comment on steps towards global existence of strong solutions in the class W(^1,2)_p (J × Ω;R^N ), and of classical solutions in the Hölder class C(^1+α,2+2α)(J × Ω;R^N ). Exploiting that the model is based on thermodynamic principles, we further show a priori bounds related to mass conservation and the entropy principle.
Item Type: | Article |
---|---|
Erschienen: | 2024 |
Creators: | Augner, Björn ; Bothe, Dieter |
Type of entry: | Secondary publication |
Title: | Analysis of some heterogeneous catalysis models with fast sorption and fast surface chemistry |
Language: | English |
Date: | 3 September 2024 |
Place of Publication: | Darmstadt |
Year of primary publication: | 2021 |
Place of primary publication: | Basel |
Publisher: | Springer International Publishing |
Journal or Publication Title: | Journal of Evolution Equations |
Volume of the journal: | 21 |
Issue Number: | 3 |
DOI: | 10.26083/tuprints-00023426 |
URL / URN: | https://tuprints.ulb.tu-darmstadt.de/23426 |
Corresponding Links: | |
Origin: | Secondary publication DeepGreen |
Abstract: | We investigate limit models resulting from a dimensional analysis of quite general heterogeneous catalysismodels with fast sorption (i.e. exchange of mass between the bulk phase and the catalytic surface of a reactor) and fast surface chemistry for a prototypical chemical reactor. For the resulting reaction–diffusion systems with linear boundary conditions on the normalmass fluxes, but at the same time nonlinear boundary conditions on the concentrations itself, we provide analytic properties such as local-in-time well-posedness, positivity, a priori bounds and comment on steps towards global existence of strong solutions in the class W(^1,2)_p (J × Ω;R^N ), and of classical solutions in the Hölder class C(^1+α,2+2α)(J × Ω;R^N ). Exploiting that the model is based on thermodynamic principles, we further show a priori bounds related to mass conservation and the entropy principle. |
Uncontrolled Keywords: | Heterogeneous catalysis, Dimension analysis, Reaction diffusion systems, Surface chemistry, Surface diffusion, Sorption, Semilinear PDE, Lp-maximal, Positivity, Blow-up |
Status: | Publisher's Version |
URN: | urn:nbn:de:tuda-tuprints-234260 |
Classification DDC: | 500 Science and mathematics > 510 Mathematics 500 Science and mathematics > 530 Physics 500 Science and mathematics > 540 Chemistry |
Divisions: | 04 Department of Mathematics 04 Department of Mathematics > Analysis 04 Department of Mathematics > Analysis > Mathematical Modeling and Analysis |
Date Deposited: | 03 Sep 2024 13:45 |
Last Modified: | 05 Sep 2024 07:35 |
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