Existence of dissipative solutions to the compressible Navier-Stokes system with potential temperature transport

Thumbnail Image

Files

existence_of_dissipative_solu-20221114154331543.pdf (958.99 KB)

Date issued

2022

Authors

Editors

Journal Title

Journal ISSN

Volume Title

Publisher

Reuse License

CC-BY-4.0
Description of rights: CC-BY-4.0
Item type: Item , ZeitschriftenaufsatzAccess status: Open Access ,

Abstract

We introduce dissipative solutions to the compressible Navier-Stokes system with potential temperature transport motivated by the concept of Young measures. We prove their global-in-time existence by means of convergence analysis of a mixed finite element-finite volume method. If a strong solution to the compressible Navier-Stokes system with potential temperature transport exists, we prove the strong convergence of numerical solutions. Our results hold for the full range of adiabatic indices including the physically relevant cases in which the existence of global-in-time weak solutions is open.

DOI

http://doi.org/10.25358/openscience-8299

Description

Keywords

Citation

URI

https://openscience.ub.uni-mainz.de/handle/20.500.12030/8315

Published in

Journal of mathematical fluid mechanics, 24, Springer International Publishing AG, Cham, 2022, https://doi.org/10.1007/s00021-022-00713-3

Relationships

Collections

DFG-491381577-H

Endorsement

Review

Supplemented By

Referenced By