Inverse of divergence and homogenization of compressible Navier-Stokes equations in randomly perforated domains
| dc.contributor.author | Bella, Peter | |
| dc.contributor.author | Oschmann, Florian | |
| dc.date.accessioned | 2025-02-24T10:41:41Z | |
| dc.date.available | 2025-02-24T10:41:41Z | |
| dc.date.issued | 2023-02-24 | |
| dc.description.abstract | We analyze the behavior of weak solutions to compressible viscous fluid flows in a bounded domain in R3, randomly perforated by tiny balls with random size. Assuming the radii of the balls scale like εα, α > 3, with ε denoting the average distance between the balls, the problem homogenize to the same limiting equation. Our main contribution is a construction of the Bogovski˘ı operator, uniformly in ε, without any assumptions on the minimal distance between the balls. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/43490 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-25323 | |
| dc.language.iso | en | |
| dc.relation.ispartofseries | Archive for rational mechanics and analysis; 247(2) | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject.ddc | 510 | |
| dc.subject.rswk | Navier-Stokes-Gleichung | de |
| dc.subject.rswk | Fluiddynamik | de |
| dc.subject.rswk | Homogenisierung <Mathematik> | de |
| dc.subject.rswk | Divergenz <Vektoranalysis> | de |
| dc.subject.rswk | Kompressibilität | de |
| dc.title | Inverse of divergence and homogenization of compressible Navier-Stokes equations in randomly perforated domains | en |
| dc.type | Text | |
| dc.type.publicationtype | Article | |
| dcterms.accessRights | open access | |
| eldorado.secondarypublication | true | |
| eldorado.secondarypublication.primarycitation | Bella, P. and Oschmann, F. (2023) ‘Inverse of divergence and homogenization of compressible Navier-Stokes equations in randomly perforated domains’, Archive for rational mechanics and analysis, 247(2). Available at: https://doi.org/10.1007/s00205-023-01847-y | |
| eldorado.secondarypublication.primaryidentifier | https://doi.org/10.1007/s00205-023-01847-y |