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Analysis of a viscoelastic phase separation model

Brunk, Aaron ; Dünweg, Burkhard ; Egger, Herbert ; Habrich, Oliver ; Lukáčová-Medvid'ová, Mária ; Spiller, Dominic (2024)
Analysis of a viscoelastic phase separation model.
In: Journal of Physics: Condensed Matter, 2021, 33 (23)
doi: 10.26083/tuprints-00020427
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: Analysis of a viscoelastic phase separation model
Language: English
Date: 25 March 2024
Place of Publication: Darmstadt
Year of primary publication: 2021
Place of primary 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: 10.26083/tuprints-00020427
Corresponding Links:
Origin: Secondary publication DeepGreen

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
Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-204272
Classification DDC: 500 Science and mathematics > 510 Mathematics
600 Technology, medicine, applied sciences > 620 Engineering and machine engineering
Divisions: 04 Department of Mathematics > Analysis
Date Deposited: 25 Mar 2024 10:03
Last Modified: 12 Jun 2024 06:39
SWORD Depositor: Deep Green
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/20427
PPN: 519008421
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