Analysis of a viscoelastic phase separation model

Autor:	Brunk, Aaron, Dünweg, Burkhard, Egger, Herbert, Habrich, Oliver, Lukacova-Medvidova, Maria, Spiller, Dominic
Rok vydání:	2020
Předmět:	Mathematical Physics Mathematics - Analysis of PDEs
Zdroj:	J. Phys.: Condens. Matter 33 234002 2021
Druh dokumentu:	Working Paper
DOI:	10.1088/1361-648X/abeb13
Popis:	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. Comment: 10 pages, 8 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2012.04234 Zobrazit plný text záznamu View this record from Arxiv