THE INVERSE OF THE DIVERGENCE OPERATOR ON PERFORATED DOMAINS WITH APPLICATIONS TO HOMOGENIZATION PROBLEMS FOR THE COMPRESSIBLE NAVIER-STOKES SYSTEM
| Autor(en): | Diening, Lars Feireisl, Eduard Lu, Yong |
Stichwörter: | Automation & Control Systems; Bogovskii type operators; compressible Navier-Stokes system; EQUATIONS; homogenization; JOHN DOMAINS; Mathematics; Mathematics, Applied; Perforated domains | Erscheinungsdatum: | 2017 | Herausgeber: | EDP SCIENCES S A | Journal: | ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | Volumen: | 23 | Ausgabe: | 3 | Startseite: | 851 | Seitenende: | 868 | Zusammenfassung: | We study the inverse of the divergence operator on a domain Omega subset of R-3 perforated by a system of tiny holes. We show that such inverse can be constructed on the Lebesgue space L-p (Omega) for any 1 < p < 3, with a norm independent of perforation, provided the holes are suitably small and their mutual distance suitably large. Applications are given to problems arising in homogenization of steady compressible fluid flows. |
ISSN: | 12928119 | DOI: | 10.1051/cocv/2016016 |
Zur Langanzeige
Seitenaufrufe
4
Letzte Woche
0
0
Letzter Monat
0
0
geprüft am 01.06.2024
