Compressible Navier-Stokes Equations with Potential Temperature Transport: Stability of the Strong Solution and Numerical Error Estimates
- Publication type:
- Journal article
- Metadata:
-
- Autoren
- Maria Lukacova-Medvid'ova
- Andreas Schomer
- Autoren-URL
- https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=fis-test-1&SrcAuth=WosAPI&KeyUT=WOS:000884732000001&DestLinkType=FullRecord&DestApp=WOS_CPL
- DOI
- 10.1007/s00021-022-00733-z
- eISSN
- 1422-6952
- Externe Identifier
- Clarivate Analytics Document Solution ID: 6G4NZ
- ISSN
- 1422-6928
- Ausgabe der Veröffentlichung
- 1
- Zeitschrift
- JOURNAL OF MATHEMATICAL FLUID MECHANICS
- Schlüsselwörter
- Compressible Navier-Stokes system
- Dissipative measure-valued solution
- DMV-strong uniqueness principle
- Error estimates
- Finite element-finite volume method
- Artikelnummer
- ARTN 1
- Datum der Veröffentlichung
- 2023
- Status
- Published
- Titel
- Compressible Navier-Stokes Equations with Potential Temperature Transport: Stability of the Strong Solution and Numerical Error Estimates
- Sub types
- Article
- Ausgabe der Zeitschrift
- 25
Data source: Web of Science (Lite)
- Other metadata sources:
-
- Abstract
- <jats:title>Abstract</jats:title><jats:p>We present a dissipative measure-valued (DMV)-strong uniqueness result for the compressible Navier–Stokes system with potential temperature transport. We show that strong solutions are stable in the class of DMV solutions. More precisely, we prove that a DMV solution coincides with a strong solution emanating from the same initial data as long as the strong solution exists. As an application of the DMV-strong uniqueness principle we derive a priori error estimates for a mixed finite element-finite volume method. The numerical solutions are computed on polyhedral domains that approximate a sufficiently a smooth bounded domain, where the exact solution exists.</jats:p>
- Autoren
- Mária Lukáčová-Medvid’ová
- Andreas Schömer
- DOI
- 10.1007/s00021-022-00733-z
- eISSN
- 1422-6952
- ISSN
- 1422-6928
- Ausgabe der Veröffentlichung
- 1
- Zeitschrift
- Journal of Mathematical Fluid Mechanics
- Sprache
- en
- Artikelnummer
- 1
- Online publication date
- 2022
- Datum der Veröffentlichung
- 2023
- Status
- Published
- Herausgeber
- Springer Science and Business Media LLC
- Herausgeber URL
- http://dx.doi.org/10.1007/s00021-022-00733-z
- Datum der Datenerfassung
- 2023
- Titel
- Compressible Navier–Stokes Equations with Potential Temperature Transport: Stability of the Strong Solution and Numerical Error Estimates
- Ausgabe der Zeitschrift
- 25
Data source: Crossref
- Author's licence
- CC-BY
- Autoren
- Mária Lukáčová-Medvid’ová
- Andreas Schömer
- Hosting institution
- Universitätsbibliothek Mainz
- Sammlungen
- DFG-491381577-H
- Resource version
- Published version
- DOI
- 10.1007/s00021-022-00733-z
- Funding acknowledgements
- Gefördert durch die Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 491381577
- File(s) embargoed
- false
- Open access
- true
- ISSN
- 1422-6952
- Zeitschrift
- Journal of mathematical fluid mechanics
- Schlüsselwörter
- 510 Mathematik
- 510 Mathematics
- Sprache
- eng
- Open access status
- Open Access
- Paginierung
- 1
- Datum der Veröffentlichung
- 2023
- Public URL
- https://openscience.ub.uni-mainz.de/handle/20.500.12030/8415
- Herausgeber
- Springer
- Datum der Datenerfassung
- 2023
- Datum, an dem der Datensatz öffentlich gemacht wurde
- 2023
- Zugang
- Public
- Titel
- Compressible Navier–Stokes equations with potential temperature transport : stability of the strong solution and numerical error estimates
- Ausgabe der Zeitschrift
- 25
Files
compressible_navierstokes_equ-20221124124450321.pdf
Data source: OPENSCIENCE.UB
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