Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-8693
Authors: Brunk, Aaron
Lukáčová-Medvid’ová, Mária
Title: Relative energy and weak–strong uniqueness of a two-phase viscoelastic phase separation model
Online publication date: 30-Jan-2023
Year of first publication: 2022
Language: english
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.
DDC: 510 Mathematik
510 Mathematics
Institution: Johannes Gutenberg-Universität Mainz
Department: FB 08 Physik, Mathematik u. Informatik
Place: Mainz
ROR: https://ror.org/023b0x485
DOI: http://doi.org/10.25358/openscience-8693
Version: Published version
Publication type: Zeitschriftenaufsatz
License: CC BY-NC-ND
Information on rights of use: https://creativecommons.org/licenses/by-nc-nd/4.0/
Journal: ZAMM : journal of applied mathematics and mechanics
Version of Record (VoR)
Pages or article number: e202100240
Publisher: Wiley-VCH
Publisher place: Berlin
Issue date: 2022
ISSN: 1521-4001
Publisher DOI: 10.1002/zamm.202100240
Appears in collections:DFG-491381577-H

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