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 |
Files in This Item:
File | Description | Size | Format | ||
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relative_energy_and_weakstron-20230127152341597.pdf | 294.04 kB | Adobe PDF | View/Open |