Analysis of a viscoelastic phase separation model

Analysis of a viscoelastic phase separation model

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...

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Veröffentlicht in:Journal of physics. Condensed matter 2021-05, Vol.33 (23), p.234002
Hauptverfasser: Brunk, Aaron, Dünweg, Burkhard, Egger, Herbert, Habrich, Oliver, Lukáčová-Medvid'ová, Mária, Spiller, Dominic
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dynamic structure factor
relative energy
viscoelastic phase separation
weak-strong uniqueness
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container_issue 23
container_start_page 234002
container_title Journal of physics. Condensed matter
container_volume 33
creator Brunk, Aaron
Dünweg, Burkhard
Egger, Herbert
Habrich, Oliver
Lukáčová-Medvid'ová, Mária
Spiller, Dominic
description 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.
doi_str_mv 10.1088/1361-648X/abeb13
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subjects dynamic structure factor
relative energy
viscoelastic phase separation
weak-strong uniqueness
title Analysis of a viscoelastic phase separation model
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