Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two

In this paper, we highlight a set of ad hoc test functions to study the homogenization of viscous compressible fluids in domains with very tiny holes. This set of functions allows to improve previous results in dimensions two and three. As an application, we show that the presence of a small obstacl...

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Bibliographic Details
Published in:Journal of evolution equations 2024-12, Vol.24 (4), Article 84
Main Author: Bravin, Marco
Format: Article
Language:English
Subjects:
Barriers
Compressible fluids
Homogenization
Viscous fluids
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Summary:In this paper, we highlight a set of ad hoc test functions to study the homogenization of viscous compressible fluids in domains with very tiny holes. This set of functions allows to improve previous results in dimensions two and three. As an application, we show that the presence of a small obstacle does not influence the dynamics of a viscous compressible fluid in dimension two.
ISSN:1424-3199
1424-3202
DOI:10.1007/s00028-024-01014-0