Relative energy and weak–strong uniqueness of a two‐phase viscoelastic phase separation model

Abstract: The aim of this paper is to analyze a viscoelastic phase separation model. We derive a suitable notion of the relative energy taking into account the nonconvex nature of the energy law for the viscoelastic phase separation. This allows us to prove the weak–strong uniqueness principle. We will provide the estimates for the full model in two space dimensions. For a reduced model, we present the estimates in three space dimensions and derive conditional relative energy estimates.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Relative energy and weak–strong uniqueness of a two‐phase viscoelastic phase separation model ; day:13 ; month:09 ; year:2022 ; extent:25
ZAMM ; (13.09.2022) (gesamt 25)

Creator
Brunk, Aaron
Lukáčová‐Medvid'ová, Mária

DOI
10.1002/zamm.202100240
URN
urn:nbn:de:101:1-2022091415052131835038
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:28 AM CEST

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