Brunk, Aaron ; Dünweg, Burkhard ; Egger, Herbert ; Habrich, Oliver ; Lukáčová-Medvid'ová, Mária ; Spiller, Dominic (2021)
Analysis of a viscoelastic phase separation model.
In: Journal of Physics: Condensed Matter, 33 (23)
doi: 10.1088/1361-648X/abeb13
Artikel, Bibliographie
Dies ist die neueste Version dieses Eintrags.
Kurzbeschreibung (Abstract)
A new model for viscoelastic phase separation is proposed, based on a systematically derived conservative two-fluid model. Dissipative effects are included by phenomenological viscoelastic terms. By construction, the model is consistent with the second law of thermodynamics. We study well-posedness of the model in two space dimensions, i.e., existence of weak solutions, a weak-strong uniqueness principle, and stability with respect to perturbations, which are proven by means of relative energy estimates. Our numerical simulations based on the new viscoelastic phase separation model are in good agreement with physical experiments. Furthermore, a good qualitative agreement with mesoscopic simulations is observed.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2021 |
| Autor(en): | Brunk, Aaron ; Dünweg, Burkhard ; Egger, Herbert ; Habrich, Oliver ; Lukáčová-Medvid'ová, Mária ; Spiller, Dominic |
| Art des Eintrags: | Bibliographie |
| Titel: | Analysis of a viscoelastic phase separation model |
| Sprache: | Englisch |
| Publikationsjahr: | 2021 |
| Ort: | London |
| Verlag: | IOP Publishing |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Journal of Physics: Condensed Matter |
| Jahrgang/Volume einer Zeitschrift: | 33 |
| (Heft-)Nummer: | 23 |
| Kollation: | 9 Seiten |
| DOI: | 10.1088/1361-648X/abeb13 |
| Zugehörige Links: | |
| Kurzbeschreibung (Abstract): | A new model for viscoelastic phase separation is proposed, based on a systematically derived conservative two-fluid model. Dissipative effects are included by phenomenological viscoelastic terms. By construction, the model is consistent with the second law of thermodynamics. We study well-posedness of the model in two space dimensions, i.e., existence of weak solutions, a weak-strong uniqueness principle, and stability with respect to perturbations, which are proven by means of relative energy estimates. Our numerical simulations based on the new viscoelastic phase separation model are in good agreement with physical experiments. Furthermore, a good qualitative agreement with mesoscopic simulations is observed. |
| Freie Schlagworte: | viscoelastic phase separation, relative energy, weak-strong uniqueness, dynamic structure factor |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 500 Naturwissenschaften und Mathematik > 510 Mathematik 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau |
| Fachbereich(e)/-gebiet(e): | 04 Fachbereich Mathematik 04 Fachbereich Mathematik > Analysis |
| Hinterlegungsdatum: | 28 Mär 2024 08:44 |
| Letzte Änderung: | 28 Mär 2024 08:44 |
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| Suche nach Titel in: | TUfind oder in Google |
Verfügbare Versionen dieses Eintrags
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Analysis of a viscoelastic phase separation model. (deposited 25 Mär 2024 10:03)
- Analysis of a viscoelastic phase separation model. (deposited 28 Mär 2024 08:44) [Gegenwärtig angezeigt]
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