The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system
Diening L, Feireisl E, Lu Y (2017)
ESAIM. Control, Optimisation and Calculus of Variations 23(3): 851-868.
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Autor*in
Diening, LarsUniBi 
;
Feireisl, Eduard;
Lu, Yong
;
Feireisl, Eduard;
Lu, YongEinrichtung
Abstract / Bemerkung
We study the inverse of the divergence operator on a domain $\Omega \subset
R^3$ 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.
Erscheinungsjahr
2017
Zeitschriftentitel
ESAIM. Control, Optimisation and Calculus of Variations
Band
23
Ausgabe
3
Seite(n)
851-868
ISSN
1292-8119
Page URI
https://pub.uni-bielefeld.de/record/2913486
Zitieren
Diening L, Feireisl E, Lu Y. The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system. ESAIM. Control, Optimisation and Calculus of Variations. 2017;23(3):851-868.
Diening, L., Feireisl, E., & Lu, Y. (2017). The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system. ESAIM. Control, Optimisation and Calculus of Variations, 23(3), 851-868. doi:10.1051/cocv/2016016
Diening, Lars, Feireisl, Eduard, and Lu, Yong. 2017. “The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system”. ESAIM. Control, Optimisation and Calculus of Variations 23 (3): 851-868.
Diening, L., Feireisl, E., and Lu, Y. (2017). The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system. ESAIM. Control, Optimisation and Calculus of Variations 23, 851-868.
Diening, L., Feireisl, E., & Lu, Y., 2017. The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system. ESAIM. Control, Optimisation and Calculus of Variations, 23(3), p 851-868.
L. Diening, E. Feireisl, and Y. Lu, “The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system”, ESAIM. Control, Optimisation and Calculus of Variations, vol. 23, 2017, pp. 851-868.
Diening, L., Feireisl, E., Lu, Y.: The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system. ESAIM. Control, Optimisation and Calculus of Variations. 23, 851-868 (2017).
Diening, Lars, Feireisl, Eduard, and Lu, Yong. “The inverse of the divergence operator on perforated domains with applications to homogenization problems for the compressible Navier-Stokes system”. ESAIM. Control, Optimisation and Calculus of Variations 23.3 (2017): 851-868.
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