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
Article, Bibliographie
This is the latest version of this item.
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.
| Item Type: | Article |
|---|---|
| Erschienen: | 2021 |
| Creators: | Brunk, Aaron ; Dünweg, Burkhard ; Egger, Herbert ; Habrich, Oliver ; Lukáčová-Medvid'ová, Mária ; Spiller, Dominic |
| Type of entry: | Bibliographie |
| Title: | Analysis of a viscoelastic phase separation model |
| Language: | English |
| Date: | 2021 |
| Place of Publication: | London |
| Publisher: | IOP Publishing |
| Journal or Publication Title: | Journal of Physics: Condensed Matter |
| Volume of the journal: | 33 |
| Issue Number: | 23 |
| Collation: | 9 Seiten |
| DOI: | 10.1088/1361-648X/abeb13 |
| Corresponding Links: | |
| 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. |
| Uncontrolled Keywords: | viscoelastic phase separation, relative energy, weak-strong uniqueness, dynamic structure factor |
| Classification DDC: | 500 Science and mathematics > 510 Mathematics 600 Technology, medicine, applied sciences > 620 Engineering and machine engineering |
| Divisions: | 04 Department of Mathematics 04 Department of Mathematics > Analysis |
| Date Deposited: | 28 Mar 2024 08:44 |
| Last Modified: | 28 Mar 2024 08:44 |
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| Suche nach Titel in: | TUfind oder in Google |
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Analysis of a viscoelastic phase separation model. (deposited 25 Mar 2024 10:03)
- Analysis of a viscoelastic phase separation model. (deposited 28 Mar 2024 08:44) [Currently Displayed]
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