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
Artikel, Zweitveröffentlichung, Verlagsversion
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Kurzbeschreibung (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.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2024 |
| Autor(en): | Augner, Björn ; Bothe, Dieter |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Analysis of some heterogeneous catalysis models with fast sorption and fast surface chemistry |
| Sprache: | Englisch |
| Publikationsjahr: | 3 September 2024 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | 2021 |
| Ort der Erstveröffentlichung: | Basel |
| Verlag: | Springer International Publishing |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Journal of Evolution Equations |
| Jahrgang/Volume einer Zeitschrift: | 21 |
| (Heft-)Nummer: | 3 |
| DOI: | 10.26083/tuprints-00023426 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/23426 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung DeepGreen |
| Kurzbeschreibung (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. |
| Freie Schlagworte: | Heterogeneous catalysis, Dimension analysis, Reaction diffusion systems, Surface chemistry, Surface diffusion, Sorption, Semilinear PDE, Lp-maximal, Positivity, Blow-up |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-234260 |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 510 Mathematik 500 Naturwissenschaften und Mathematik > 530 Physik 500 Naturwissenschaften und Mathematik > 540 Chemie |
| Fachbereich(e)/-gebiet(e): | 04 Fachbereich Mathematik 04 Fachbereich Mathematik > Analysis 04 Fachbereich Mathematik > Analysis > Mathematische Modellierung und Analysis |
| Hinterlegungsdatum: | 03 Sep 2024 13:45 |
| Letzte Änderung: | 05 Sep 2024 07:35 |
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| Suche nach Titel in: | TUfind oder in Google |
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- Analysis of some heterogeneous catalysis models with fast sorption and fast surface chemistry. (deposited 03 Sep 2024 13:45) [Gegenwärtig angezeigt]
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