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arXiv · 2012.04234

Analysis of a viscoelastic phase separation model

Aaron Brunk·Burkhard Dünweg·Herbert Egger·Oliver Habrich·Maria Lukacova-Medvidova·Dominic Spiller
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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, and we study well-posedness of the model, 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. A good qualitative agreement with mesoscopic simulations is observed in numerical tests.

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Aaron Brunk, Burkhard Dünweg, Herbert Egger, Oliver Habrich, Maria Lukacova-Medvidova, Dominic Spiller. 2020-12-08. Analysis of a viscoelastic phase separation model. https://doi.org/10.1088/1361-648x/abeb13

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